Circle Area In Each Quadrant

JEE Main Discussion Forum › Co-ordinate Geometry questions › Circle Area In Each Quadrant

Point P(a, b) is in the first quadrant. A circle of radius r, centre P and containing points in each quadrant is drawn. If A_K is the area inside the circle in the K^th quadrant, K=1, 2, 3, 4, then A₁-A₂+A₃-A₄=
(a) ab (b) 2ab (c) 3ab (d) 4ab.

#Mathematics #Co-ordinate Geometry

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2 Answers

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Manish Shankar ·2013-12-19 05:52:32

Ans is D 4ab

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Manish Shankar ·2013-12-19 06:12:39

A1-A2+A3-A4

(A1'+A2'+A3+A4')-(A2'+A3)+A3-(A4'+A3)=A1'=2a*2b=4ab

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