A tangent to the parabola y^2 = 4ax is inclined at 3 with the axis of the parabola. The point of contact is

JEE Advanced Mathematics question

A tangent to the parabola is inclined at with the axis of the parabola. The point of contact is

Answer: (A),(D)

At the tangent is , slope . Making an angle with the axis (the -axis) means slope :

1t = ±3 ⇒

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Question ID VK-109050