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Question: Tangents are drawn from the point P(–1, 6) to the circle x<sup>2</sup> + y<sup>2</sup> – 4x – 6y + 4...

Tangents are drawn from the point P(–1, 6) to the circle x2 + y2 – 4x – 6y + 4 = 0. If A and B are the points of contact of these tangents and 'O' be the centre of the circle, then area of quadrilateral PAOB is-

A

6

B

9

C

18

D

9349 \frac { \sqrt { 3 } } { 4 }

Answer

9

Explanation

Solution

Point P lies on director circle of the given circle

\ Area of the square PAOB = 32 = 9