CGP Edu

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 Numeric Response

Published on: August 14, 2026

For how many values of p, the circle x 2 + y 2 + 2x + 4y - p = 0 and the coordinate axes have exactly three common points ?

Text Solution

Verified by Experts

The correct answer is:

(2)

x 2 + y 2 + 2x + 4y-p = 0

(x+1) 2 + (y + 2) 2 = p + 5

p + 5 = 4 (when it touches the x-axis)

p = -1

and p + 5 = 5 (when circle passes through the origin)

p = 0

Two possible values of p

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

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

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