CircleHard
Question
Tangents drawn from (6, 4) to the circle x2 + y2 - 4x - 4y + 4 = 0 intersect the y-axis at A & B. AB is equal to
Options
A.6
B.8
C.10
D.12
Solution
Circle is (x - 2)2 + (y - 2)2 = 22
BP = 6
⇒ CP = 4
tan θ =
tan 2θ =
⇒ AB = 6tan2θ
BP = 6
⇒ CP = 4
tan θ =
tan 2θ =
⇒ AB = 6tan2θ
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