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.

Question

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. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Tardigrade Admin · Accepted Answer

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

Q. Statement-1 : If P(233​​,1) is a point on the ellipse 4x2+9y2=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.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True.

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

Q. Statement-1 : If $P (\frac{3 3}{2}, 1)$ 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 $A \equiv (- 5, 0)$ .
Statement-2 : Circle drawn with focal radius as diameter touches the auxiliary circle.