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JEE Main 2013 Mathematics question

MathematicsParabolaJEE Main 2013

Statement-1: The line x − 2y = 2 meets the parabola, only at the point (−2, −2). Statement-2: The line (m ≠ 0) is tangent to the parabola, at the point

Answer: (2)

Solution

For with , the tangent of slope m is , touching at \frac{a}{m^2}\frac{2a}{m}\frac{1}{2m^2}$,

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Question ID VK-104056