Let the set of all values of r, for which the circles (x + 1)² +… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 1Circle Equation & Properties

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

A
$25$
B
$21$
C
$24$
D
$20$

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