JEE Main 2013 Mathematics question

MathematicsParabolaJEE Main 2013

Given : A circle, and a parabola, .

Statement-I : An equation of a common tangent to these curves is .

Statement-II : If the line, (m ≠ 0) is their common tangent, then m satisfies .

Answer: (4)

Solution

Working out gives , not as stated. But m²=1 (a root of the actual equation) does satisfy

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Question ID VK-000887