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Circle question

2024 · 5 Apr · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 5 Apr · Shift 2 · Q33

Circle question

2024 · 5 Apr · Shift 2 · Q33

JEE MainMathematicsCircleMCQ+4 / −1

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 :

A
$\mathrm{r}=1$
B
$2 \mathrm{r}^2-4 \mathrm{r}+1=0$
C
$2 \mathrm{r}^2-8 \mathrm{r}+7=0$
D
$\mathrm{r}^2-8 \mathrm{r}+8=0$

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