JEE MATHEMATICS MCQ: HYPERBOLA

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Analyzing +4 | -1

If chords of the hyperbola

{x^2} - {y^2} = {a^2}

touch the parabola

{y^2} = 4ax.

Then, the locus of the middle points of these chord is

View answer and explanation

Correct option: B

{y^2}\left( {x - a} \right) = {x^3}

Option B (

{y^2}({x - a}) = {x^3}

) is correct because it represents the locus of the midpoints of the chords of the hyperbola that touch the given parabola.

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9 x^2-16 y^2+72 x-32 y-16=0

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H

e

H

e

\mathrm{H}

\left( {1, - 1} \right),

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\sqrt 2