Let the product of the focal distances of the point P(4,2√3) on the hyperbola H: (x²)/(a²)-(y²)/(b²)=1 be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then p² + q² is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q97

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let the product of the focal distances of the point P(4,2√3) on the hyperbola H:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then p² + q² is equal to:

Your answerInteger or decimal

JEE Main 2025 · April, Unspecified (session-level dataset) · Q97

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let the product of the focal distances of the point P(4,2√3) on the hyperbola H:

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then p² + q² is equal to:

Your answerInteger or decimal