Class XIIth Question Paper 1
MOHAMMAD ABID ALIG 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 )
