Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
and
and 
(Here, the inverse trigonometric function
assumes values in
).
List I | List II | ||
(A) | The range of is | (P) | |
(B) | The range of contains | (Q) | |
(C) | The domain of contains | (R) | |
(D) | The domain of is | (S) | |
(T) | |||
(U) |
Let
be the function defined by
and
be the function defined by
. [2018 Adv.]
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(R);
(Q);
(P);
(P)
We have,
and 





Now, 



Also, 


So, 
∴ The domain of
and
are
. and Range of
is 
Range of
is
or
.
Range of
is
or
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The value of is (JEE Advanced 2013)
If and , where the inverse trigonometric functions take only the principal values, then the corre…
For any positive integer , define as for all . (Here, the inverse trigonometric function assu…
For non-negative integer , let Assuming takes values in which of the following options is/are c…
For any positive integer , let be defined by where any and . Then which of the following state…
Match the statements in List I with those in List II. (IIT-JEE 2010)
List IList II(A) A line from t…









