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Through the vertex O of the parabola y^2...

Through the vertex `O` of the parabola `y^2=4a x` , two chords `O Pa n dO Q` are drawn and the circles on OP and OQ as diameters intersect at `Rdot` If `theta_1,theta_2` , and `varphi` are the angles made with the axis by the tangents at `P` and `Q` on the parabola and by `O R ,` then value of `cottheta_1+cottheta_2` is (a) `-2tanvarphi` (b) `-2tan(pi-varphi)` (c) 0 (d) `2cotvarphi`

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