The locus of the midpoint of the portion of the line x \cos \alpha+y \sin \alpha=p intercepted by the coordinate axes, where p is a constant, is [AP EAPCET 23 May 2024 S1]

Correct Answer is : 1x2+1y2=4p2

\frac{1}{x^2}+\frac{1}{y^2}=\frac{3}{p^2}

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

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

AP EAPCET 23 May 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 41 of 160

Marks: +1, -0

The locus of the midpoint of the portion of the line x‌cos‌α+ysin‌α=p intercepted by the coordinate axes, where p is a constant, is

[AP EAPCET 23 May 2024 S1]

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