JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1

The locus of the mid-point of the distance between the axes of the variable line

x \cos \alpha+y \sin \alpha=p

, where

p

is constant, is

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it represents the locus of the midpoint of the segment between the axes of the given line.

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