NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 6

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Question 30:

The greatest and least values of are respectively

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer. We have

Thus, the least value is and the Greatest value is

Question 31:

Let , then value of is

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

Question 32:

The domain of the function is

(A)

(B)

(C)

(D)

Answer:

(C) Is the correct answer.

i.e.

Question 33:

The domain of is

(A)

(B)

(C)

(D)

Answer:

(D) Is the correct answer.

Question 34:

The domain of the function defined by is

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

The domain of is R and the domain of is . Therefore, the domain of is , i.e., .