If the tangents drawn from the point (0, 2) to the parabola y^2 = 4ax are inclined at an angle 3 4 then the value of a is

JEE Advanced Mathematics question

If the tangents drawn from the point to the parabola are inclined at an angle then the value of is

Answer: (A),(B)

Any tangent is . Through : . The other tangent from is the tangent at the vertex, (the "" root, since lies on it).

*(Figure: the -axis (tangent at the vertex) and a second tangent through , drawn for both

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Question ID VK-109047