JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

If tangents are drawn to the ellipse

x^2+2 y^2=2

then locus of mid-points of intercepts made by the tangents between the coordinate axes is

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because it represents the locus of the midpoints of the intercepts formed by the tangents to the ellipse.

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O