JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

Locus of the middle points of all chords of

\frac{x^2}{4}+\frac{y^2}{9}=1

, which are at a distance of 2 units from the vertex of parabola

y^2=-8ax

, is

View answer and explanation

Correct option: B

\left(\frac{x^2}{4}+\frac{y^2}{9}\right)^2=4\left(\frac{x^2}{16}+\frac{y^2}{81}\right)

Option B (

\left(\frac{x^2}{4}+\frac{y^2}{9}\right)^2=4\left(\frac{x^2}{16}+\frac{y^2}{81}\right)

) is correct because it represents the locus of the midpoints of the chords at a given distance from the vertex of the parabola.

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