Wednesday, July 28, 2010

class 8 science question collection

Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: VIII F.M: 75
Subject: Science Time: 2.30 hrs. P.M: 30


Physics

Q No. 1) Define fundamental unit. Write SI unit of density and current.
(1+1)
Q No.2) Define relative motion. Write the formula of acceleration and velocity. (1+1)
Q No.3) Winding roads are made in hills. Why? Classify see-saw and shovel. (1+1)
Q No.4) Write two differences between barometer and pressure gauze. (2)
Q No. 5) What do you mean by power? Write one difference between potential and kinetic energy. (2)
Q No.6) What type of energy is possessed in the following actions? (2)
a) Leg lifted to kick ball c. Burning matchstick
b) Ringing bell d. Bread
Q No.7) What effect is seen in kinetic energy possessed by body when its velocity is tripled? Show mathematically. (2)

Q No.8) What are the temperatures of the boiling and freezing water in Fahrenheit and Centigrade scale in the sea level? (2)
Q No.9) Kink is made near the bulb of clinical thermometer, why? (2)
Q No.10) Define refraction of light. Write one use of concave mirror. (2)
Q No.11) Write any two differences between converging mirror & diverging mirror. (2)
Q No.12) Study the given figure and answer the followings. (2)




i) Name AB & BC.
ii) Which one is rarer & which is denser medium?
Q No.13) Write energy conversion by radio and microphone. Ram lifts a weight of 50 kg to a height of 10m in 2m. Shyam lifts the same weight to same height in 3 minutes. By how much, power of Ram is greater than that of Shyam? (2+3)
Q No. 14) What types of images are formed by a concave mirror when an object is placed
i) between C and F ii. between F and P
Also write one nature of image in each. (2.5+2.5)

Chemistry
Q No.15) Write molecular formula of Calcium carbonate and Magnesium chloride by criss-cross method (2)
Q No.16) Name the methods of separation for following mixtures (2)
a) Rice and husk c. Alcohol and water
b) Cream from butter d. Red ink & black ink

Q No.17) Write two differences between Acid & Base. (2)
Q No.18) Name any two alkalis. Make a table to show indicator tests for acid & base. The indicators used are red & blue litmus, methyl orange and phenolphthalein. (1+4)
Biology
Q No.19) Define National Park. Name any two national parks of Nepal. (2)
Q No.20) Define cross pollination. Give an example of complete and incomplete flower each. (1+1)
Q No.21) Classify the pine with one major characteristic. ( 2)
Q No.22) Write two differences between pollination and fertilization. ( 2)
Q No.23) Draw a labeled diagram of mustard flower. (2)
Q No.24) Define hermaphrodite. Give two examples. (2)
Q No.25) Why are arthropods found abundant in environment? (2)
Q No.26) Write two differences between silverfish and starfish. Write the name of phylum of liver fluke and Unio with one major character. (2+3)

Geology & Astronomy

Q No. 27) Classify the following rocks. (2)
a. Obsidian c. Limestone
b. Slate d. Graphite
Q No. 28) Plutonic rocks are hard in nature, why? Write one example of such rock. (1.5+0.5)
Q No. 29) Which layer of atmosphere is also called protective shield? Why?
(0.5+1.5)

Q No.30) Write two differences between exosphere and stratosphere. Draw a neat labeled diagram of different layers of atmosphere. (2+3)

Pre.Vocational question collection

Joint Examination Board
PABSON Bhaktapur
Second Terminal Examination 2066
Class : 8 FM:50
Subject Pre.Vocational Time 1.30 hrs PM :20
Students need to attempt any two sections
Section 1(Accounting)
A Answer the following question (2×10=20)
1. What is book keeping?
2. Define ‘Debit’ and ‘Credit’ with example.
3. What is meant by Journal? Write any two objectives of it.
4. Show any two differences of journal and ledger.
5. Give a specimen of a ledger.
6. What is office? Write any two important of it.
7. Why supervision of works is necessary in office?
8. Write rules of debit and credit of personal account.
9. What do you mean by Entry and Dispatch?
10. Define double entry book keeping system.

B Answer the following questions (2.5×2=5)
11. Journalize the following transaction in the names Rukesh Enterprises
a) Purchased Pala of Rs 2000 from Samrat Ceramics on 2066-07-05
b) Paid rent of house Rs. 3500 on 2066- 07- 09
12. Sketch a model of Entry book used in office with example.
Section 2(Agriculture)
A Answer the following question (2×10=20)
1. What is agronomy?
2. Write any two importance of Kitchen Gardening.
3. What is the use of manures and fertilizers for the vegetable farming?
4. What are cereal crops? How does it differ from cash crops?
5. “Paddy is main crop in Nepal” Explain.
6. Describe in short about Leghorn breed of chicken.
7. List any four improved varieties goats.
8. Write any four importance of fruit farming.
9. Describe about rose farming.
10. Explain the sugarcane as the cash crops.

B Answer the following questions (2.5×2=5)
11. Describe the ‘jersey cow’
12. Write any five measures should be applied for keeping animals healthy.

Section 3(Clothing and Knitting)
A Answer the following question (2×10=20)
1. What is clothing?
2. Mention any four advantages of tailoring.
3. What is Stitch? Write types of it.
4. Why is the handkerchief essential?
5. List the essential materials for making handkerchief.
6. What is table post? Write any two importance of it.
7. Explain utilities of Kisti covering handkerchief.
8. How do you repair clothes?
9. Write the method of putting a button.
10. What are the different methods of filling clothes?

B Answer the following questions (2.5×2=5)
11. Describe the method of making handkerchief.
12. Write down any five things to be considered while taking measurement?
Section 4 (Wood Work)
A Answer the following question(2×10=20)
1. Explain the uses of saw in wood work.
2. Write down any four things to be considered while measuring tape?
3. Why is the construction of instrument needed before preparing wood materials?
4. How is saved of adze?
5. Describe in short about utilities of book rack.
6. Write any four function of name plate.
7. Write the methods to make Dalo of plywood.
8. Draw a figure chisel (Ramo) showing its different parts.
9. Give a short introduction of claw hammer.
10. How can we take care of Saw?

B Answer the following questions (2.5×2=5)
11. How is book rack made?
12. Write down the methods of making duster whose lengths and breadths are 6” and 2.5” respectively.
Best of luck



Marking scheme Class: 8
Subject: Pre. Vocational
Section 1 Accounting
1. For the correct meaning of book keeping ..........1Marks
2. For the meaning with example of debit...1 Marks
For the meaning with the example of credit......1 Marks
3. For the correct meaning of journal.........1 Marks
For the any two objectives.......0.5+0.5 Marks
4. For the any two difference of journal and ledger ........1+1 Marks
5. For the correct specimen of ledger................2 Marks
6. For the correct meaning of office.........1 Marks
For the two importance of office.........0.5+0.5
7. For the necessary description of supervision ...........2 Marks
8. For the correct meaning of Entry..........1 Marks
For the correct meaning of Dispatch...........1 Marks
9. For the rule of debit of personal account ......1 Marks
For the rule of credit of personal account ......1 Marks
10. For the correct meaning of double entry book keeping system
11. For the correct format of Journal ...................0.5 Marks
For the correct entry of two transactions .................1+1
12. For correct sketch a model of Entry book.................1 Marks
For the example presented in the book ...................1.5 Marks
Section2 (Agriculture)
1. For the correct meaning of agronomy............2 Marks
2. For the four advantages of kitchen garden ...........0.5×4 =2 Marks
3. For answer according to composition..............2 Marks
4. For the meaning cereal crops ........1 Marks
For the any two difference of cereal and cash crops ...0.5+0.5 Marks
5. For the explanation according to composition...........2 Marks
6. For the short description of leghorn ............2 Marks
7. If a list of four varieties of goat prepared........... 0.5×4 =2 Marks
8. For the four importance of fruit production..... 0.5×4 =2 Marks
9. Description of rose farming according to composition .................. 2 Marks
10. Description of sugarcane according to composition .................. 2 Marks
11. Description of jersey cow according to composition .................. 2.5 Marks
12. If five measures are written................... 0.5×5=2.5 Marks
Section 3 (Clothing and Knitting)
1. For the correct meaning of clothing.................2Marks
2. For four advantages of tailoring.................0.5×4=2 Marks
3. For the meaning of stitch................. 1Mark
For the types stitch 0.5×2=1 Mark
4. For the composition according to question.........2Marks
5. If the list of essential materials for making handkerchief is prepared.........2 Marks
6. For the correct meaning of table post...................1 Mark
For the two importance of table post.............1 Mark
7. For the explanation of utilities of Kisti covering handkerchief..........2 Marks
8. For the composition according to question......... 2 Marks
9. For the correct method of putting a button....... 2 Marks
10. If four methods are mentioned................ 0.5×4=2 Marks
11. If the methods of making handkerchief are written................. 2.5 Marks
12. If five appropriate things are written...................0.5×5=2.5 Marks

Section 4 (Wood Work)
1. For appropriate use of saw....................2 Marks
2. For four things written................ 0.5×4=2 Marks
3. For the composition according to question......... 2 Marks
4. For the composition according to question......... 2 Marks
5. For appropriate description of utility of book rack...............2 Marks
6. For the four function of name plate.............0.5×4=2 Marks
7. For the appropriate method of making Dalo............2 Marks
8. For the figure of chisel................1Mark
For the different parts....................1 Mark
9. For the composition according to question......... 2 Marks
10. For the composition according to question......... 2 Marks
11. For the appropriate description.................2.5 Marks
12. If appropriate methods of making duster is written...........2.5 Marks

Population and Environment Education

Joint Examination Board
PABSON, Bhaktapur
Second Term Examination-2066
Time: 1Hr, 30 Mins.
Class: VIII FM :50
Subject: Population and Environment Education PM: 20
Time: 1hr 30 mins

Attempt all the questions
Group A
Short answer questions: 10×2=20
Q.No.1.Write any four effects on environmental caused by human activities.
0.5×4=2

Q.No.2.Write any four causes of environmental degradation. 0.5×4=2

Q.No.3.Define Migration. Name the types of migration. 1+1=2

Q.No.4.Define birth and death. 1+1=2

Q.No.5.Name the world cultural heritages of Nepal. 0.25×8=2

Q.No.6.Why are National parks and Wildlife Reserves established? (Give any
four reasons) 2

Q.No.7.Enlist the causes of deforestation. (Any four points) 2

Q.No.8.What are the major causes of population decrease? (Any four points)
0.25×4=2
Q.No.9.How does population growth affects the health services. 2

Q.No.10. What are the factors that have an adverse effect on the quality of
life. 2



GROUP B
Give long answers for the following questions
Q.No.1. People from village prefer to migrate to town. Justify. 5

Q.No.2.Calculate TFR with the help of the following information: 5
Age group 15-19 20-24 25-29 30-34 35-39 40-45 45-49
ASFR/Thousand 1996 115 219 340 135 164 105 60


Q.No.3. What are the major causes of population growth? Describe any two
in detail. 5

Q.No.4.How can you control pollution? 5

Q.No.5. What steps are to be taken to protect our cultural heritages? Explain.
5

Q.No.6.Describe the factors required for quality of life. 5

Population Education question paper in nepal

Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examination – 2066

Class: X Time: 3 hrs. F.M: 100
Subject: Population Education P.M: 40

[Candidates are required to write answers in their own words. Credit will be given for creativity and are encouraged for it as well.]

Group A

Attempt any 16 questions from this group (5x16)

1. What is family life education? Mention any three of its objectives.
2. When is the beginning of family life? Explain briefly the family life cycle with example.
3. Classify the importance of family life education.
4. What is the difference between early marriage and late marriage? Write disadvantages of early marriage.
5. Mention any five conditions in which second marriage is not prohibited according to the marriage act of Nepal.
6. How does migration affect adversely in human life? Discuss.
7. What is reproductive health? Make a list of eight aspects of reproductive health.
8. What do you mean by family planning? Describe its objective.
9. Differentiate laparoscopy and minilap.
10. Discuss micro nutrient and macro nutrient with example.
11. Differentiate:
a. Immigration and Emigration
b. Pull Factors and Push factors
12. Write a short notes on:
a. Night blindness
b. Rickets.
13. Mention any five reasons of high infant and child death rate in Nepal.
14. How do women education and employment help to control population growth? Discuss it.
15. What is natural contraception? Discuss calendar method.
16. What is Iron Deficiency anemia? Mention its causes and symptoms.
17. What is impact of religious belief like preference of son on population growth? Clarify.
18. Write short notes on:
a. Children the gift of god.
b. Conception.
19. Son is given more important in Nepalese society. Why?
20. Show the immunization schedule for both mother and baby.



Group B

Attempt any two questions (10x2)
21. What is Goiter? Describe its cause, symptoms and controlling measures.
22. Mention any five objectives needed to be empowered the women and explain any five challenges of women empowerment.
23. Define safe method and what major consideration so as to provide safe motherhood service? Mention.



Best of Luck!

Population Education's question collection

Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examination – 2066

Class: IX Time: 3 hrs. F.M: 100
Subject: Population Education P.M: 40

[Candidates are required to write answers in their own words. Credit will be given for creativity and are encouraged for it as well.]


Group 'A' [16x5]

Short answer questions: (Attempt any 16 questions)

1. Why do we study population education? Give any five reasons.
2. Why is population education a multidimensional educational process?
3. Mention the scopes of population education and describe any two of them.
4. List out the characteristics of the Malthusian population theory.
5. Define census. Also, mention its advantages.
6. List out the characteristics of population and explain any two of them.
7. Explain the historical stage of population growth with its figure.
8. Explain the population situation of Nepal.
9. Compare the population situation of Nepal with India.
10. Explain how population pyramid is constructed.
11. Show the composition of population of Nepal on the basis of age and sex.
12. Write short notes on:
a) Dependent population
b) population composition by occupation
13. List out the major elements that affect fertility with examples.
14. What do you mean by migration? Explain.
15. Explain briefly the problems created by urbanization.
16. Describe the population policy of Nepal in brief.
17. Differentiate between:
a) Fertility and Fecundity
18. List out the five effects of industrialization.

Group 'B' [10x2]
Long answer questions: (Any two)
19. What are the causes of population growth? Explain each of them.
20. What is Industrial pollution? Mention the short term and long term measures of controlling industrial pollution.
21. Explain the experiences of People's Republic China in controlling population growth.



Best of Luck!

Population Education question paper

Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Population Education P.M: 20



Attempt all the questions
Group A
Short answer questions: 10×2=20

Q.No.1. Write any four effects on environment caused by human activities. 0.5×4=2
Q.No.2. Write any four causes of environmental degradation. 0.5×4=2
Q.No.3. Define Migration. Name the types of migration.
1+1=2
Q.No.4. Define birth and death. 1+1=2
Q.No.5. Name the world cultural heritages of Nepal.
0.25×8=2
Q.No.6. Why are National parks and Wildlife Reserves established? Give any four reasons. 2
Q.No.7. Enlist the causes of deforestation. Write Any four points. 2
Q.No.8. What are the major causes of population decrease? (Any four points) 0.25×4=2
Q.No.9. How does population growth affect the health services? 2
Q.No.10. What are the factors that have an adverse effect on the quality of life? 2



GROUP B

Long answer questions:

Q.No.1. People from village prefer to migrate to town. Justify. 5

Q.No.2. Calculate TFR with the help of the following information: 5
Age group 15-19 20-24 25-29 30-34 35-39 40-45 45-49
ASFR/
Thousand 1996 115 219 340 135 164 105 60

Q.No.3. What are the major causes of population growth? Describe any two in detail. 5

Q.No.4. How can you control pollution? 5

Q.No.5. What steps are to be taken to protect our cultural heritages? Explain. 5

Q.No.6. Describe the factors required for quality of life. 5





Best of Luck !

science

Physics
Q No. 1) Define fundamental unit. Write SI unit of density and current. (1+1)
Q No.2) Define Relative motion. Write the formula of acceleration and velocity. (1+1)
Q No.3) Winding roads are mode in hills. Why? Classify sea saw and shovel.(1+1)
Q No.4) Write two differences between barometer and pressure gauze. (2)
Q No. 5) What do you mean by power? Write one different between potential and kinetic energy.(2)
Q No.6) What type of energy is possessed in the following action? (2)
a) Leg lifted to kick ball
b) Burning matchstick
c) Ringing bell
d) Bread
Q No.7) What effects is seen in kinetic energy possessed by body when its velocity is tripled? Show mathematically. (2)
Q No.8) What are the temperatures of the boiling and freezing water in Fahrenheit and Centigrade scale in sea level? (2)
Q No.9) Kink is made in clinical thermometer, Why? (2)
Q No.10) Define refraction of light. Write one use of concave mirror. (2)
Q No.11) Write any two differences between converging mirror & diverging mirror. (2)
Q No.12) Study the given figure and answer the followings.(2)
i) Name AB & BC.
ii) Which one rarer & which is denser medium?
Q No.13) Write energy conversion by Radio and microphone. Ram lifts a weight of 50 kg to a height of 10m in 2m. Shyam lifts the same weight to same height in 3 minutes. By how much power of Ram is greater than that of Shyam? (2+3)
Q No. 14) What types of images are formed by a concave mirror when an object is placed
i) between C and F
ii) between F and P
Also write one nature of image in each (2.5+2.5)

Chemistry
Q No.15) Write molecular formula of Calcium carbonate and magnesium chloride by criss-cross method (2)
Q No.16) Name the methods of separation for following mixtures (2)
a) Rice and husk
b) Alcohol and water
c) Cream from butter
d) Red ink & black ink


Q No.17) Write two differences between Acid & Base (2)
Q No.18) Name any two alkalis. Make a table to show indicator tests for Acid & base. The indicators used are Red & blue litmus, methyl orange and phenolphthalein. (1+4)


Biology
Q No.19) Define National Park. Name any two national parks of Nepal. (2)
Q No.20) Define cross pollination. Give an example of complete and incomplete flower each. (1+1)
Q No.21) Classify the pine with one major characteristics.
Q No.22) Write two differences between pollination and fertilization.)2)
Q No.23) Draw a labeled diagram of mustard flower.(2)
Q No.24) Define hermaphrodite. Give two examples.(2)
Q No.25) Why are arthropods found abundant in environment?(2)
Q No.26) Write two differences between silverfish and starfish. Write the name of phylum of liver fluke and Unio with one major character.(2+3)

Geology & Astronomy
Q No. 27) Classify the following rocks. (2)
a. Obsidian
b. Limestone
c. Slate
d. Graphite
Q No. 28) Plutonic rocks are hard in nature, Why? Write one example of such rock. (1.5+0.5)
Q No. 29) Which layer of atmosphere is also called protective Shield? Why? (0.5+1.5)
Q No.30) Write two differences between exosphere and stratosphere. Draw a neat labeled diagram of different layers of atmosphere. (2+3)

The End

Population health and environment

PABSON Bhaktapur
2nd Terminal Examination 2066
Class: X Sub: Opt Population
Group A
Attempt any 16 questions from this group (16x5)
1. What is family life education? Mention any three of its objectives.
2. When is the beginning of family life? Explain briefly the family life cycle with example.
3. Classify the importance of family life education.
4. What is the difference between early marriage and late marriage? Write disadvantages of early marriage.
5. Mention any five conditions in which second marriage is not prohibited according to the marriage act of Nepal.
6. How does migration affect adversely in human life? Discuss.
7. What is reproductive health? Make a list of eight aspects of reproductive health.
8. What do you mean by family planning? Describe its objective.
9. Differentiate laparoscopy and minilap.
10. Discuss micro nutrient and macro nutrient with example.
11. Differentiate:
a. Immigration and Emigration
b. Pull Factors and Push factors
12. Write a short notes on:
a. Night blindness
b. Rickets.
13. Mention any five reason of high infant and child death rate in Nepal.
14. How do women education and employment help to control population growth? Discuss it.
15. What is natural contracepting? Discuss calendar method.
16. What is Iron Deficiency anemia? Mention its causes and symptoms.
17. What is impact of religious belief like preference of son on population growth? Clarify.
18. Write short notes on:
a. Children the gift of god.
b. Conception.
19. Son is given more important in Nepalese society. Why?
20. Show the immunization schedule for both mother and baby.

Group B
Attempt any two questions (2x10)
21. What is Goiter? Describe its cause, symptoms and controlling measures.
22. Mention any five objectives needed to be empowered the women and explain any five challenges of women empowerment.
23. Define safe method and what major consideration so as to provide safe motherhood service? Mention.

optional mathmetics

Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: X Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40



Group A [ (2+2) x 8 = 32]

1. a. If f = {(2,4) , (1,8), (0,0)} and g = {(4,0), (0,5),(8,3)}, show the function of g by an arrow diagram and find it in order pair form.

b. State remainder theorem. When x3 + kx2 + 3x + 4 is divided by x - 2, then the remainder is 18. Find the value of K.

2. a. The AM of two numbers P and 8 is 5, find their geometric mean.

b. If the inverse of the matrix is find the values of m and n.
3. a. Which matrix pre multiplies to the matrix gives (10 16)?

b. If the lines A1x + B1y + C1 =0 and A2x + B2y+ C2= 0 are perpendicular to each other , prove that A1A2 + B1B2 = 0.

4. a. Find the separate equations represented by the equation x2 - y2 + 2y - 1 = 0.

b. Find the centre and radius of the circle x2 + y2 - 20y+ 75 = 0.

5. a. Prove that:

b. If , find the value of Sin .

6. a. Prove that: Cos 1050 + Sin 1050 =

b. Solve:


7. a. If and , find the value of p.

b. The position vector of A is and the position vector of B is . If , find the position vector of the point P.

8. a. The translation followed by the translation gives the translation
, what are the values of a and b?

b. If A = , state the transformation represented by A2. Also find the image of point M (2,3) using A2.


Group B (17 x 4 = 68)

9. If f(x) = 4x + 5, g(x) = 3x + k and gf -1(9) = 5, find the value of K.

10. Solve : x3 - 4x2 - 7x + 10 = 0.

11. The product of three numbers of a G.P is 216 and their sum is 19. Find the numbers.

12. Find the maximum value of P = 2x + 3y under constraints
, x+y 0 , y 2.

13. Solve by matrix method; x = 2y - 1 and 2x = y.

14. Find the equation of the straight line passing through the mid point of the
segment joining the points A(2,-4) and B( 2,4) and parallel to the line
3x - 2y - 4 = 0.

15. Find the single equation of a pair of straight lines passing through the origin
and perpendicular to the pair of lines represented by x2 - 5 xy + 4y2 = 0.

16. Find the equation of the circle which touches the x-axis at a point (3,0) and
passing through the point (1,2).

17. Prove that:

18. If A+B+C = prove that;
Cos(B+C-A) +Cos(C+A-B) +Cos (A+B-C) = 1 + 4 Cos A. Cos B. Cos C.

19. Solve: Tan A + Tan3A + Tan A.Tan3A =

20. The shadow of a tower on the ground is found to be 45 m longer when the
sun's altitude is 450 than when it is 600. Find the height of the tower.

21. Prove by vector method that the diagonals of a rhombus intersect at right
angle.

22. A triangle with vertices A(1,2) , B(4,-1) and C (2,5) is reflected in the line
x=5 then rotated through 90+ about origin. Find the final image. Also draw
on the graph paper.

23. Find 2 x 2 transformation matrix which transform the rectangle
into the unit square.

24. Calculate mean deviation from the median and its coefficient from the given
data.

X: 20 18 16 14 12 10 8 6
f: 2 4 9 18 27 25 14 1

25. Calculate standard deviation from the given data:

Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 4 6 10 20 6 4


Best of Luck !

class optional mathematics questin collection

Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Opt.Maths P.M: 20



Group ‘A’ [9x2=18]

Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .




b) Prove: CosA.

Q.2 a) If Sec = ,find Sin and tan .

b) Find the value of: Sin 900 + Cos600 + Tan 450.

Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).

b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain and range of R .

Or

If A = {a, b} and B = {1, 2}. Find A x B.

Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7.
Find P(x) + Q(x).




b) If the mid-point of the line joining A (7, b) and B (a, 2) is
(-1, 4) then find the values of a & b .

Or

Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.

c) If



Group -B [8x4=32]


Q.5) A pole stands in a horizontal plane and an angle of elevation of the top of the pole from a point is 45o and the distance between the point and the pole is 45m, find its height.

Q.6) If 5 tan = 4, find the value of

Q.7) Prove:

Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and
R= { {x, y) : y = x2 } , find R .


Q.9) Use synthetic division to find quotient & the remainder if:
4a3 – 3a2 + 2a + 1 is divided by a-1 .

Q.10) Find the ratio and the point at which the line joining
M (2,-4) and N (-3,6) is divided by x-axis .

Or

Prove that the points A(-1,0), B(3,1), C(2,2) and
D(-2,1) are the vertices of a parallelogram.

Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles triangle.

Q.12) If


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