P(a \sec \theta, b \tan \theta) and Q(a \sec \phi, b \tan \phi) are two points on the hyperbola \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 where \phi+\theta=\frac{\pi}{2}. If ( {\h}, {\k}) is the point of intersection of the normals drawn at {\P} and {\Q}, then {\k}= [TG EAPCET 12 May 2023 Shift 2]

Correct Answer is : −(a2+b2b)

TS EAMCET Engineering 12 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 58 of 160

Marks: +1, -0

P(a secθ,b‌tan‌θ) and Q(a secφ,b‌tan‌φ) are two points on the hyperbola ‌

−‌

=1 where φ+θ=‌

. If (h,k) is the point of intersection of the normals drawn at P and Q, then k=

[TG EAPCET 12 May 2023 Shift 2]

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