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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

The equation of the common tangent touching the circle and the parabola above the -axis, is

Answer: (C)

Solution

Any tangent to : (point of contact ). It touches the circle (centre , radius 3) iff

= 3 ⇒ 9(1+ = + 6 + ⇒ = 3

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Question ID VK-110556