An ellipse intersects the hyperbola x2−y2=12 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. The axes of the ellipse are along the coordinate axes.Match List I with List II and select the correct answer using the code given below the lists :List IList II (A)The radius of the director circle of ellipse is equal to(P)√2(B)The length of latus rectum of ellipse is equal to (Q)√3(C)The distance between directrices of ellipse is equal to(R)2(D)The square of radius of auxiliary circle of ellipse is equal to(S)4(T)1Which of the following is the only CORRECT combination?

An ellipse intersects the hyperbola x2−y2=12 orthogonally. The eccen

1.	An ellipse intersects the hyperbola x2−y2=12 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. The axes of the ellipse are along the coordinate axes.Match List I with List II and select the correct answer using the code given below the lists :List IList II (A)The radius of the director circle of ellipse is equal to(P)√2(B)The length of latus rectum of ellipse is equal to (Q)√3(C)The distance between directrices of ellipse is equal to(R)2(D)The square of radius of auxiliary circle of ellipse is equal to(S)4(T)1Which of the following is the only CORRECT combination?
Answer» An ellipse intersects the hyperbola $x^{2} - y^{2} = \frac{1}{2}$ orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. The axes of the ellipse are along the coordinate axes. Match $List I$ with $List II$ and select the correct answer using the code given below the lists : $\begin{matrix} List I & List II (A) & The radius of the director circle of ellipse is equal to & (P) & \sqrt{2} (B) & The length of latus rectum of ellipse is equal to & (Q) & \sqrt{3} (C) & The distance between directrices of ellipse is equal to & (R) & 2 (D) & The square of radius of auxiliary circle of ellipse is equal to & (S) & 4 (T) & 1 \end{matrix}$ Which of the following is the only CORRECT combination?