Statement-1: The slope of the tangent at any point P on a parabola, whose axis is the axis of x and vertex is at the origin, is inversely proportional to the ordinate of the point P . Statement-2: The

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Statement-1: The slope of the tangent at any point P on a parabola, whose axis is the axis of x and vertex is at the origin, is inversely proportional to the ordinate of the point P . Statement-2: The system of parabolas y 2 = 4 a x satisfies a differential equation of degree 1 and order 1.

TestHub · Accepted Answer

- Statement − 1 : y 2 = ± 4 a x ⇒ d x d y ​ = ± 2 a ⋅ y 1 ​ ⇒ d x d y ​ ∝ y 1 ​ Statement − 2 : y 2 = 4 a x ⇒ 2 y d x d y ​ = 4 a Thus both statements are true but statement-2 is not a correct explanation for statement-1.

Mathematics - Parabola Question with Solution | TestHub

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