Q95 / 160 · TS EAMCET 2025 (03 May Shift 1) · Mathematics

Let P be a point on the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ and let the perpendicular drawn through P to the major axis meet its auxiliary circle at Q. If the normals drawn at P and Q to the ellipse and the auxiliary circle respectively meet in R, then the equation of the locus of $R$ is

A
$x^2+y^2=5$
B
$x^2+y^2=13$
Correct answer
C
$x^2+y^2=25$
D
$x^2+y^2=1$

Hence, the correct answer is option: 'C'.

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