Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For any 
, let 
and 
. Then, the sum of all solutions of the equation 
for 
, is equal to [2023 Adv.]
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Given, 
and 
or 
So, there is two cases arise to solve Eq. (i).
Case I When 
, i.e. 
but 
i.e. 
is negative.
Case II When 
, i.e. 
i.e. 
is positive.
So, 
Hence, sum of Eqs. (ii) and (iii) gives us
──────────────────────────────────────────────────────────────────────────────────────────
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…