Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, then the number of solutions of 
, is
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
To find the number of solutions for 
when 
:
Use the identity 
:
Let 
and 
. Since 
:
Simplify to a Quadratic:
Find the Minimum Value:
The quadratic 
reaches its minimum at 
.
Conclusion:
Since the minimum value is 
, the expression can never equal 
if 
.
Number of solutions 
.
──────────────────────────────────────────────────────────────────────────────────────────
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