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CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5

SECTION — A

Question numbers 1 to 6 carry 1 mark each.CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-1

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-2

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-3

4.Write the distance of a point P(a, b, c) from x-axis.

5.Write two different vectors having same direction, but different magnitude.

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-4

SECTION — B

Question numbers 7 to 19 carry 4 marks each.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-5

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-6

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-7

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-8

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-9

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-10

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-11

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-12

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-13

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-14

17.Find the direction cosines of the vector joining the points A (1,2, -3) and B (-1, -2,1), directed from A to B.

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-15

19.In a class having 60% boys, 5% of the boys and 10% of the girls have an I.Q. of more than 150. A student is selected at random and found to have an I.Q. of more than 150. Find the probability that the selected student is a boy.

SECTION — C

Question numbers 20 to 26 carry 6 marks each.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-16

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-17

22.A rectangle is inscribed in a semi-circle of radius r with one of its side on the diameter of the semi­circle. Find the maximum area of the rectangle.
Or
Show that the right circular cone of least curved surface and given volume has an altitude equal to root 2 times the radius of the base.

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-18

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-19

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-20

26.A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximize the profit ?

ANSWERS

SECTION — A

Question numbers 1 to 6 carry 1 mark each.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-1
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-1

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-2
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-2

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-3
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-3

4.Write the distance of a point P(a, b, c) from x-axis.
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-4
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-5

5.Write two different vectors having same direction, but different magnitude.
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-6

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-4
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-7

SECTION — B

Question numbers 7 to 19 carry 4 marks each.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-5
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-8
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-9

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-6
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-10
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-11

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-7
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-12
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-13

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-8
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-14

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-9
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-15
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-16
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-17

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-10
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-18
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-19

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-11
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-20
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-21

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-12
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-22

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-13
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-23

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-14
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-24
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-25
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-26
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-27

17.Find the direction cosines of the vector joining the points A (1,2, -3) and B (-1, -2,1), directed from A to B.
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-28
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-29

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-15
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-30
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-31

19.In a class having 60% boys, 5% of the boys and 10% of the girls have an I.Q. of more than 150. A student is selected at random and found to have an I.Q. of more than 150. Find the probability that the selected student is a boy.
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-32
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-33
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-34

SECTION — C

Question numbers 20 to 26 carry 6 marks each.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-16
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-35
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-36

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-17
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-37
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-38
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-39
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-40
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-41

22.A rectangle is inscribed in a semi-circle of radius r with one of its side on the diameter of the semi­circle. Find the maximum area of the rectangle.
Or
Show that the right circular cone of least curved surface and given volume has an altitude equal to root 2 times the radius of the base.

Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-42
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-43
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-44
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-45
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-46

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-18
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-47
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-48
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-49

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-19
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-50
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-51
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-52

CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-20
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-53
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-54

26.A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximize the profit ?
Ans.
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-55
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-56
CBSE Sample Papers for Class 12 Maths Solved 2016 Set 5-57

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