Class XIIth Question Paper 1

Language: English
Subject: Math > Angles
Age: 17 - 18

Class XIIth Question Paper 1

1). Find the principal value of sin^-1(1/√2)?

π/3

π/6

π/4

π/2

2). Find the principal value of cot^-1(1/√3)?

3π/2

2π/3

π/3

π/6

3). Find the principal value of cos^-1(1/√2)?

π/4

3π/2

π/2

0

4). Find the principal value of sec^-1(√3/2)?

π/2

π/6

π/3

2π/3

5). Find the principal value of tan^-1 (-1)?

-π/4

3π/4

2π/2

π

6). Find the principal value of cosec^-1(2)?

2π/3

0

π/6

None of these

7). Find the principal value of cos^-1(-1/2)?

2π/3

-2π/3

π

π/4

8). Find the principal value of cosec^-1(-2)?

3π/2

π/6

π/4

-π/4

9). Find the principal value of cot^-1(√3)?

π/6

2π/3

-π/2

π

10). tan^-1 (√3) – sec^-1 (–2) is equal to

2π/3

π/3

–π/3

π

11). sin^–1 (–x)

( sin x)^–1

1/sin^–1 x

cos^–1 x

–sin^–1 x

12). π–cot^–1 x , x £ R is equal to

cot^–1 ( –x)

sin^–1 (–x)

cot^–1 (x)

sec^–1 (–x)

13). sec^–1 (–x) is equal to

π/2 – sec^–1 x

π–sec^–1 x

π–cos^–1 x

π/2–cos^–1 x

14). tan^–1 x + cot^–1 x is equal to if x £ R

π/4

2π/3

π/3

π/2

15). sin^–1 x + cos^–1 x is equal to , if x £[–1, 1 ]

π/3

π/4

π/2

None of these

16). cos^–1 (1/x) is equal to, if x ≥ 1 or
x ≤ –1

cosec^–1 x

2/cosec^–1 x

–1/sin^–1 x

cosec x

17). tan^–1 (1/x) is equal to , if x > 0

1/tan^–1 x

cosec^–1 x

cot^–1 x

–cot^–1 x

18). What is the range of tan^–1

[–π/2 , π/2]

(–π/2 , π/2)

[–1 , –1]

R

19). The relation R in the set {1,2,3} given by R = {(1,2), (2,1 )} is...
(a) Symmetric Relation
(b) Reflexive Relation
(c) Transitive Relation
(d) Equivalence Relation

( a )

( b )

( c )

( d )

20). Let R be the relation in the set N given by R={(a,b):a=b–2,b>6}. Choose the correct answer.
(A) (2, 4)€R
(B) (3, 8)€R
(C) (6, 8)€R
(D) (8, 7)€R

( A )

( B )

( C )

( D )