Assertion: The domain of the function sec -1 x is the set of all real numbers. Reason: For the function sec -1 x , x can take all real values except in the interval (-1,1).

Question

Assertion: The domain of the function sec -1 x is the set of all real numbers. Reason: For the function sec -1 x , x can take all real values except in the interval (-1,1). (A) Assertion is correct, reason is correct; reason is a correct explanation for assertion. (B) Assertion is correct, reason is correct; reason is not a correct explanation for assertion (C) Assertion is correct, reason is incorrect (D) Assertion is incorrect, reason is correct.

Tardigrade Admin · Accepted Answer

The domain of the function sec 1 x is R -(-1,1).

Q. Assertion: The domain of the function $sec^{- 1} x$ is the set of all real numbers.
Reason: For the function $se c^{- 1} x, x$ can take all real values except in the interval $(- 1, 1)$ .

Assertion is correct, reason is correct; reason is a correct explanation for assertion.

Assertion is correct, reason is correct; reason is not a correct explanation for assertion

Assertion is correct, reason is incorrect

Assertion is incorrect, reason is correct.

The domain of the function $sec^{1} x$ is $R - (- 1, 1)$ .

Q. Assertion: The domain of the function sec−1x is the set of all real numbers. Reason: For the function sec−1x,x can take all real values except in the interval (−1,1).