1. Tardigrade
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  4. Statement-1: If P((3 √3/2), 1) is a point on the ellipse 4 x2+9 y2=36. Circle drawn AP as diameter touches another circle x2+y2=9, where A ≡(-√5, 0). Statement-2: Circle drawn with focal radius as diameter touches the auxiliary circle.

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Q. Statement-1 : If $P\left(\frac{3 \sqrt{3}}{2}, 1\right)$ is a point on the ellipse $4 x^2+9 y^2=36$. Circle drawn AP as diameter touches another circle $x^2+y^2=9$, where $A \equiv(-\sqrt{5}, 0)$.
Statement-2 : Circle drawn with focal radius as diameter touches the auxiliary circle.

Conic Sections

Solution:

Correct answer is (a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.