Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of real solutions of 
and 
is/are
Text Solution
Verified by ExpertsThe correct answer is:
D
Analyze the first equation: 
.
Since the range of 
is 
, we have 
.
The minimum value of 
is 
(at 
).
To satisfy 
must be in the interval
Analyze the second equation: 
.
Since the range of 
is 
, we have 
.
Combining with the first condition, 
must be in 
.
Check for 
:
If 
, then 
and 
.
Thus, 
(where 
) are solutions.
Since 
provides a valid 
for every integer 
, there are infinitely many 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