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

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

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Both statements are true and statement-2 is the correct explanation of statement-1 ∴ The straight line y = m x + m a ​ is always a tangent to the parabola y 2 = 4 a x for any value of m . The co-ordinates of point of contact ( m 2 a ​ , m 2 a ​ )

Mathematics - Parabola Question with Solution | TestHub

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