Assertion ( A) : Maximum value of (\cos ^{-1} x) ^2 is \pi^2. Reason (R) : Range of the principal value branch of \cos ^{-1} x is [\frac{-\pi}{2}, \frac{\pi}{2}].

Correct Answer is : (A) is true, but (R) is false.

CBSE Class 12 Math 2023 Outside Delhi Set 1 Solved Paper

ASSERTION-REASON BASED QUESTIONS

In the following questions

19 & 20

, a statement of Assertion (A) is followed by a statement of Reason (R).

Choose the correct answer out of the following choices :

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

(B) Both (A) and

( {\R})

are true, but

( {\R})

is not the correct explanation of (A).

(C) (A) is true, but (R) is false.

(D) (A) is false, but (R) is true.

Question : 19 of 38

Marks: +1, -0

Assertion ( A) : Maximum value of

(\cos ^{-1} x) ^2

π^2

.

Reason (R) : Range of the principal value branch of

\cos ^{-1} x

[\;{-π}/{2}, \;{π}/{2}]

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.

Solution:

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