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The circle C1 : x^2 + y^2 = 3, with cent...

The circle `C_1 : x^2 + y^2 = 3,` with centre at O, intersects the parabola `x^2 = 2y` at the point P in the first quadrant. Let the tangent to the circle `C_1` at P touches other two circles `C_2 and C_3 at R_2 and R_3,` respectively. Suppose `C_2 and C_3` have equal radii `2sqrt3` and centres at `Q_2` and `Q_3` respectively. If `Q_2` and `Q_3` lie on the y-axis, then (a)` Q2Q3= 12`(b)`R2R3=4sqrt6`(c)area of triangle `OR2R3` is `6sqrt2` (d)area of triangle `PQ2Q3 is= 4sqrt2`

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