Let the tangents drawn from the origin to the circle, x2+y2−8x−4y+16=0 touch it at the points A and B. Then AB2 is equal to:
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a
645
b
565
c
525
d
325
answer is A.
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Detailed Solution
Length of tangent=L=S1=16=4Radius of the circle=R=16+4−16=2∴Length of Chord of contact =2LRL2+R2=2×4×216+4=1620⇒Square of length of chord of contact =645