Question

Assertion (A): The domain of the function sec^–12x is `(-∞, - 1/2] ∪ pi/2, ∞)`

Reason (R): sec^–1(–2) = `- pi/4`

पर्याय

• Both A and R are true and R is the correct explanation of A.

• Both A and R are true but R is not the correct explanation of A.

• A is true but R is false.

• A is false but R is true.

Answer 1

A is true but R is false.

Explanation:

sec^–1x is defined if x ≤ −1 or x ≥ 1.

Hence, sec^–12x will be defined if `x ≤ - 1/2` or `x ≥ 1/2`.

Hence, A is true.

The range of the function sec^–1x is [0, π] − `{pi/2}`

R is false.