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}

Straight Lines and Pair of Straight Lines

Section: Mathematics

Question : 40 of 81

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]

Go to Question:

Prev Question

Next Question