`pi/6`
`pi/4`
`pi/3`
`pi/2`
`pi`
`pi/2`
`pi/4`
none of these
` tan^(-1) ( y/x)`
` tan^(-1) ( x/y)`
` - tan^(-1) ( x/y)`
None of these
`pi/8`
`pi/4`
`pi/2`
`pi`
` ((n - 1)d)/(a_1 + a_n)`
` ((n - 1)d)/(1 + a_1 a_n)`
` (n d)/( 1+ a_1 a_n)`
`(a_n - a_1)/(a_n + a_1)`
`0`
`1`
`2`
`3`
`n`
`2n`
`(n ( n + 1))/2`
none of these
`-3`
`0`
`3`
`-1`
`pi - cos^(-1) { sqrt( 1- x^2) }`
` tan^(-1) { x/sqrt(1-x^2)}`
` - cot^(-1) { sqrt(1 - x^2)/x }`
`cosec^(-1) x`
`1`
`2`
`3`
`4`
`a+ b = 23`
`a- b = 11`
`3b =a+ 1`
`2a = 3b`
`6/17`
`7/16`
`16/7`
None of these
(This question may have multiple correct answers)
`0`
`-1`
`-2`
`-3`
(This question may have multiple correct answers)
`[tan sin cos 1, tan sin cos sin 1]`
`(tan sin cos 1, tan sin cos sin 1)`
`[- 1, 1]`
`[sin cos tan 1, sin cos sin tan 1]`
`x in [ 0, 1/sqrt 2]`
` x in [ 1/sqrt 2 , 1]`
`x in (0, 1/sqrt 2)`
None of these
`0`
`-1`
`1`
`2`
Column I | Column II | ||
---|---|---|---|
(A) | The number of possible values of `k` if fundamental period of `sin^(-1) (sin kx)` is `pi/2` , is | (P) | `1` |
(B) | Numbers of elements in the domain of `f(x) = tan^(-1) x + sin^(-1) x + sec^(-1 ) x` is | (Q) | `2` |
(C) | Period of the function `f(x) = sin ((pi x)/2) * cosec ((pi x)/2)` is | (R) | `3` |
(D) | If the range of the function `f(x) = cos^(-1) [5x]` is `{a, b, c}` and `a + b + c = (lambda pi )/2`, then `lambda` is equal to (where `[*]` denotes greatest integer) | (S) | `4` |
(T) | `0` |
(A)-> (p), (B)-> (q), (C)-> (q), (D)-> (r)
(A)-> (s), (B)-> (q), (C)-> (q), (D)-> (r)
(A)-> (q), (B)-> (q), (C)-> (q), (D)-> (r)
(A)-> (t), (B)-> (q), (C)-> (q), (D)-> (r)