Let ABCD and AEFG be squares | Circle | JEE Main 2024

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JEE Main 2024

05-04-2024 S2

Question

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC . Then the radius $r$ of the circle passing through the point F and touching the line segments BC and CD satisfies :

Select the correct option:

A

$r=1$

B

$r^2-8 r+8=0$

C

$2 r^2-4 r+1=0$

D

$2 r^2-8 r+7=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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