Be a circle having centre in | Circle | JEE MAIN 2026

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JEE MAIN 2026

06-04-2026 S2

Question

Let $C$ be a circle having centre in the first quadrant and touching the $x$-axis at a distance of 3 units from the origin. If the circle $C$ has an intercept of length $6 \sqrt{3}$ on y-axis, then the length of the chord of the circle $C$ on the line $x-y=3$ is :

Select the correct option:

A

8

B

6

C

$6 \sqrt{2}$

D

$8 \sqrt{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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