Equation $a{x^2} + 2hxy + b{y^2} + 2{\rm{g}}x + 2fy + c = 0\;$ $\left( {abc + 2f{\rm{g}}h - a{f^2} - b{{\rm{g}}^2} - c{h^2} \ne 0} \right)$ represents a parabola, if

JEE MATHEMATICS MCQ: PARABOLA

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Equation

a{x^2} + 2hxy + b{y^2} + 2\mathrm{g}x + 2fy + c = 0\;

\left( {abc + 2f\mathrm{g}h - a{f^2} - b{\mathrm{g}^2} - c{h^2} \ne 0} \right)

represents a parabola, if

View answer and explanation

Correct option: A

{h^2} = ab

Option A (

{h^2} = ab

) is correct because this is the condition for the given general equation to represent a parabola.

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