Let P ^ P ( a sec , b ) and Q (a _ 1 b _ 1 ) , where + = 2 . be two points on the…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
Let \(\mathrm{P}^{\mathrm{P}}(\mathrm{a} \text { sec } \theta, \mathrm{b} \tan \theta)\)and \(Q\left(a \sin \Phi_{1} b \tan \Phi_{1}\right)\), where \(\theta+\omega=\frac{\pi}{2} .\) be two points on the hyperbola \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\). If (h, k) is the point of the intersection of the normals at P and Q, then k is equal to
- \(\frac{a^{2}+b^{2}}{a}\)
- \(-\left(\frac{a^{2}+b^{2}}{a}\right)\)
- \(\frac{a^{2}+b^{2}}{b}\)
- \(-\left(\frac{a^{2}+b^{2}}{b}\right)\)
Answer
(D) - ( a^ 2 +b^ 2 b )
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