Let the set of all values.... | JEE Main 2026 22 Jan Shift 1

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Let the set of all values of $r$, for which the circles $(x+1)^2+(y+4)^2=r^2$ and $x^2+y^2-4 x-2 y-4=0$ intersect at two distinct points be the interval $(\alpha, \beta)$. Then $\alpha \beta$ is equal to

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A

25

B

20

C

21

D

24

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