Let P(a secθ, b tanθ) and Q (a sec φ, b tan φ), where θ + φ = 2 , be two points on the…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Let P(a secθ, b tanθ) and Q (a sec φ, b tan φ), where
θ + φ = \(\frac{\pi}{2},\)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
θ + φ = \(\frac{\pi}{2},\)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
- \(\frac{a^{2}+b^{2}}{a}\)
- \(\frac{a^{2}+b^{2}}{b}\)
- \(-\left(\frac{a^{2}+b^{2}}{b}\right)\)
Answer
(D) - ( a^ 2 +b^ 2 b )
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