Home Maths Circle and System of Circles Family of Circles, Locus Equation of the circle which passes through …
Maths Circle and System of Circles Family of Circles, Locus Single Correct MCQ
Published on: August 13, 2026

Equation of the circle which passes through the point (–1, 2) & touches the circle at origin, is -

A

B

C

D

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
D

Equations of tangent is : 4x – 3y = 0

equation of the family of the cirlcle is

which passes through P (– 1,2) ⇒ 1 + 4 λ (–4–6) = 0 ⇒ λ =

⇒ equation of circle 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.