1.

Pair of tangents are drawn from origin to the circle x2 + y2 – 8x – 4y + 16 = 0 then square of length of chord of contact is(1) 5/64 (2) 24/5  (3) 8/5  (4) 8/13

Answer»

Answer is  (1) 64/5

L = S1 = √16 = 4

R = √(16 + 4 - 16) = 2

Length of Chord of contact = 2LR/(L2 + R2) = (2 x 4 x 2)/(16 + 4) = 16/√20

square of length of chord of contac = 64/5



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