Home Maths Inequations & Inequalities Inequalities The number of solution of the equation is w…
Maths Inequations & Inequalities Inequalities Single Correct MCQ
Published on: August 12, 2026

The number of solution of the equation is where [.] denotes the greatest integers function

A
1
B
2
C
3
D
none of these

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B

The key is that the equation is

So

Since exists, we must have

Now use the principal value property:

(1)

Then

For .

giving , which is not in .
But at ,

so it must be checked separately.
(2)

Then

This gives .
Among these, and are the relevant principal solutions, and both satisfy the original equation.
Hence the number of solutions is

──────────────────────────────────────────────────────────────────────────────────────────

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.