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Circle question

2024 · 30 Jan · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 30 Jan · Shift 1 · Q33

Circle question

2024 · 30 Jan · Shift 1 · Q33

JEE MainMathematicsCircleMCQ+4 / −1

If the circles

(x+1)^2+(y+2)^2=r^2

and

x^2+y^2-4 x-4 y+4=0

intersect at exactly two distinct points, then

A
$\frac{1}{2}\lt \mathrm{r}\lt 7$
B
$3\lt \mathrm{r}\lt 7$
C
$5\lt \mathrm{r}\lt 9$
D
$0\lt \mathrm{r}\lt 7$

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