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MathsJEE Main 22 Jan 2026, Shift 1·Q12·MCQ·Easy–moderate

Circles · Intersecting circles condition

Let the set of all values of rr, for which the circles (x+1)2+(y+4)2=r2(x + 1)^2 + (y + 4)^2 = r^2 and x2+y2−4x−2y−4=0x^2 + y^2 - 4x - 2y - 4 = 0 intersect at two distinct points be the interval (α,β)(\alpha, \beta). Then αβ\alpha\beta is equal to
  1. (1)25
  2. (2)20
  3. (3)21
  4. (4)24

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