Study MaterialsImportant QuestionsCBSE Sample Papers for Class 12 Maths 2018 Set 5

CBSE Sample Papers for Class 12 Maths 2018 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

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    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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