TS EAMCET · Maths · Hyperbola
If the equation of a hyperbola is \(9 x^2-16 y^2+72 x-32 y\) \(-16=0\), then the equation of its conjugate hyperbola is
- A \(9 x^2-16 y^2+72 x-32 y+272=0\)
- B \(9 x^2-16 y^2+72 x-32 y+288=0\)
- C \(9 x^2-16 y^2+72 x-32 y-38=0\)
- D \(9 x^2-16 y^2+72 x-32 y+16=0\)
Answer & Solution
Correct Answer
(A) \(9 x^2-16 y^2+72 x-32 y+272=0\)
Step-by-step Solution
Detailed explanation
\(H: 9 x^2-16 y^2+72 x-32 y-16=0\) If equation of hyperbola: \(H=0\), then equation of pair of asymptotes: \(H+\lambda=0\) Equation of conjugate hyperbola: \(H+2 \lambda=0\) \(\therefore\) Equation of pair of asymptotes : \(9 x^2-16 y^2+72 x-32 y+(\lambda-16)=0\) If above…
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