JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

The locus of the middle point of the portion of a tangent to the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

included between the axes is the curve

View answer and explanation

Correct option: B

\frac{a^2}{x^2}+\frac{b^2}{y^2}=4

Option B (

\frac{{a^2}}{{x^2}}+\frac{{b^2}}{{y^2}}=4

) is correct because it represents the locus of the midpoint of the tangent intercepted between the axes.

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\frac{x^2}{144}+\frac{y^2}{81}=1

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9 x^{2}+16 y^{2}=144

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\frac{x^2}{25}+\frac{y^2}{16}=1

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O