Question: The circle C : x + y = 3, with centre at O, intersects the parabola x = 2y at the point P in

The circle C : x + y = 3, with centre at

The circle C : x + y = 3, with centre at O, intersects the parabola x = 2y at the point P in the first quadrant. Let the tangent to the circle C at P touches other two circles C and C3 at R and R3, respectively. Suppose C and C3 have equal radii 23 and centres Q and Q3, respectively. If Q and Q3 lie on the y-axis, then (A) QQ3 = 12 (C) area of the triangle ORR, is 62 (B) RR = 46 (D) area of the triangle PQQ3 is 42

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