Home Maths Circle and System of Circles JEE Main 2019 A circle touching the x-axis at (3, 0) and m…
Maths Circle and System of Circles JEE Main 2019 Single Correct MCQ
Published on: August 13, 2026

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point:

A
B
C
D

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Text Solution

Verified by Experts
The correct answer is:
A

JEE Main 2019

Let centre of circle is C and circle cuts the -axis at B and A. Let mid-point of chord is M.

radius of circle

∴ equation of circle is,

(3, 10) satisfies this equation.

Although there will be another circle satisfying the same conditions that will lie below -axis having equation .

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