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in Integrals calculus by (54.8k points)

ABCD is a square of side length 2 units and the centre of square is at origin. C2 is a circle passing through vertices A, B, C, D and C1 are the circle touching all the sides of square ABCD. Line L1 is tangent at A line L2 is tangent at D on circle C2 who intersects at K, where A, B, C, D lie in 2nd, 1st, 4th and 3rd quadrant. Point Q is variable point on C2, let perpendicular drawn from Q to cut the line L1 and L2 at E and F,respectively. Given that AB, BC, CD and AD are parallel to the coordinate axes.

Area of ΔBQC, (where Q is such that the area of the rectangle QEKF is maximum) is

(A)  (5 - 22)/22

(B) (2 + 32)/22

(C) (5 + 23)/2

(D) None of these

1 Answer

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Best answer

Answer is (D) None of these

Area of ΔBQC = √2 - 1

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