Two circles are drawn through the points (1, 0) and (2, - 1) to touch the axis of y. They intersect at an angle

(A) cot–1 3/4 

(B) cos -1 4/5 

(C) π/2 

(D) tan-1 1

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1 Answers

(A) cot–1 3/4 

The two circles are

x2 + y2 - 2x + 2y + 1 = 0 and x2 + y2 -10x - 6y + 9 = 0 (use family of circles)

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