Inverse Trigono...

The value of sin⁻¹  is

is equal to

is equal to

A solution of the equation tan⁻¹ (1 + x) + tan¹ (1 − x) =  is

If cos^-1 (1/x) =, then tanwill be

If , then the value of x is

Number of asymptotes of  is

The value of sec is

Directions: Match the statements/expressions in Column-I with the statements/expressions in Column-II and indicate your answer by selecting the appropriate option. Any statement in Column-I can correctly match with one or more statements in Column–II.

Column-I	Column-II
(A) f(x) = tan–1 x	(P)
(B) f(x) = cot–1 x	(Q)
(C) f(x) = sec–1 x	(R)
(D) f(x) = cosec–1 x	(S)

Directions: The following question has four choices, out of which ONLY ONE is correct.

A function f : R R describes a curve y = f(x). A point P(x, y) lies on the curve and satisfies the equation .

If A is the event that is randomly selected andpoint P(x, y) lies on the curve satisfying x - y - 6 > 0, then P(A) is equal to

Directions: The following question has four choices, out of which ONLY ONE is correct.

A function f: R  R describes a curve y = f(x). A point P(x, y) lies on the curve and satisfies the equation

The number of asymptote(s) of the curve is (are)

If, then  is equal to