Let two circles having radii r 1 and r 2 are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then k 4 is equal to

Question

Let two circles having radii r 1 and r 2 are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then k 4 is equal to, 13, 7, 4, 2

MARKS App · Accepted Answer

Area of Δ A B C = 1 2 r 1 r 2 = 1 2 l 2 r 1 2 + r 2 2 ⇒ l = 2 r 1 r 2 r 1 2 + r 2 2 ⇒ l = 2 2 r 1 2 r 2 2 r 1 2 + r 2 2 ⇒ k = 2 ⇒ k 4 = 4

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