Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The number of points in
for which
, is
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Given 
Rewrite: 
Let 
Notice that

since
and
.
Therefore any solution must satisfy

Let
. Then


Hence all roots lie in
.
Now factor:

Checking obvious values:


But 
Observe that


So there is one root in
.
Also
is even-like in sign behavior:


giving one root in (
).
Thus there are exactly two real solutions. 2
──────────────────────────────────────────────────────────────────────────────────────────
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
If denotes the greatest integer less than or equal to , then the solutions of the equation are
If is defined for all real , then the value of can be
If , where the greatest integer less than or equal to , then must be such that
The solution of the equation , is
If , then is equal to
The number of solutions of the equation , is