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# CBSE Academic Class XII Mathematics Sample Question Paper 2021-22

** Name of the Board **: Central Board of Secondary Education (CBSE)

**: XII STD**

__Class__**: Sample Question Paper**

__Document Type__**: Mathematics**

__Subject__**: 1 and 2**

__Term__**: 2021-22**

__Year__**: https://cbseacademic.nic.in/SQP_CLASSXII_2021-22.html**

__Website__## CBSE XII Mathematics Question Paper

CBSE Students can download the Mathematics Sample Question Paper Term 1 and 2 for the year 2021-22 from the website of CBSE Academic.

Related / Similar Question Paper :CBSE Academic Class XII Applied Mathematics Sample Question Paper 2021-22

## Sample Question Paper For CBSE XII Mathematics

** Section-A **:

**1. sin [ π3 βsin-1 (β 12)] is equal to**a) 12

b) 13

c) -1

d) 1

**2. The value of k (k < 0) for which the function π defined asπ(π₯) = {1βπππ ππ₯π₯π πππ₯ , π₯ β 02 , π₯ = 0 is continuous at π₯ = 0 is**

a) Β±1

b) β1

c) Β± 12

d) 12

**3. If A = [aij] is a square matrix of order 2 such that aij = {1, π€βππ π β π0, π€βππ π = π , thenA2 is**

a) [1 01 0]

b) |1 10 0|

c) |1 11 0|

d) [1 00 1]

**4. Value of π, for which A = [π 84 2π] is a singular matrix is**

a) 4

b) -4

c) Β±4

d) 0

**5. Find the intervals in which the function f given by f (x) = x 2 β 4x + 6 is strictly increasing**

a) (β β, 2) βͺ (2, β)

b) (2, β)

c) (ββ, 2)

d) (β β, 2]βͺ (2, β)

**6. Given that A is a square matrix of order 3 and | A | = β 4, then | adj A | is equal to**

a) -4

b) 4

c) -16

d) 16

**7. A relation R in set A = {1,2,3} is defined as R = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which of the following ordered pair in R shall be removed to make it an equivalence relation in A?**

a) (1, 1)

b) (1, 2)

c) (2, 2)

d) (3, 3)

**8. If [2π + π π β 2π 5π β π 4π + 3π] = [ 4 β3 11 24 ], then value of a + b β c + 2d is**

a) 8

b) 10

c) 4

d) β8

**9. The point at which the normal to the curve y = π₯ + 1 π₯, x > 0 is perpendicular to the line 3x β 4y β 7 = 0 is**

a) (2, 5/2)

b) (Β±2, 5/2)

c) (- 1/2, 5/2)

d) (1/2, 5/2)

**10. sin (tan-1x), where |x| < 1, is equal to**

a) π₯β1βπ₯2

b) 1β1βπ₯2

c) 1β1+π₯2

d) π₯β1+π₯2

**11. Let the relation R in the set A = {x β Z** : 0 β€ x β€ 12}, given by R = {(a, b) : |a βb| is a multiple of 4}. Then [1], the equivalence class containing 1, is:

a) {1, 5, 9}

b) {0, 1, 2, 5}

c) π

d) A

**12. If ex + ey = ex+y , then ππ¦ππ₯ is**

a) e y β x

b) e x + y

c) β e y β x

d) 2 e x β y

**13. Given that matrices A and B are of order 3Γn and mΓ5 respectively, then the order of matrix C = 5A +3B is**

a) 3Γ5

b) 5Γ3

c) 3Γ3

d) 5Γ5

**14. If y = 5 cos x β 3 sin x, then π2π¦ππ₯2 is equal to**

a) β y

b) y

c) 25y

d) 9y

**15. For matrix A =[ 2 5β11 7], (ππππ΄)β² is equal to**

a) [β2 β511 β7]

b) [ 7 5 11 2]

c) [ 7 11 β5 2 ]

d) [ 7 β5 11 2 ]

**16. The points on the curve π₯2 9 + π¦2 16 = 1 at which the tangents are parallel to y- axis are**

a) (0,Β±4)

b) (Β±4,0)

c) (Β±3,0)

d) (0, Β±3)

**17. Given that A = [πππ ] is a square matrix of order 3Γ3 and |A| = β7, then the value of β ππ2π΄π2 3 π=1 , where π΄ππ denotes the cofactor of element πππ is**:

a) 7

b) -7

c) 0

d)49

**18. If y = log(cos ππ₯), then ππ¦ππ₯ is**

a) cos ππ₯β1

b) πβπ₯ cos ππ₯

c) ππ₯sin ππ₯

d) β ππ₯ tan ππ₯

**19. Based on the given shaded region as the feasible region in the graph, at which point(s) is the objective function Z = 3x + 9y maximum?**

a) Point B

b) Point C

c) Point D

d) every point on the line segment CD

**20. The least value of the function π(π₯) = 2πππ π₯ + π₯ in the closed interval [0,π2]is**

a) 2

b) π6 + β3

c) π2

d) The least value does not exist

## Download CBSE XII Mathematics Question Paper

** Download CBSE XII Mathematics Term 1 Question Paper Here **:

https://www.pdfquestion.in/uploads/pdf2022/40398-Term1.pdf

** Download CBSE XII Mathematics Term 2 Question Paper Here **:

https://www.pdfquestion.in/uploads/pdf2022/40398-Term2.pdf