Let P(asecθ,btanθ) and Q(asecϕ,btanϕ), where θ+ϕ=π2, be two poi – InterviewSolution

1.	Let P(asecθ,btanθ) and Q(asecϕ,btanϕ), where θ+ϕ=π2, be two points on the hyperbola x2a2−y2b2=1. If (h,k) is the point of intersection of normals at P and Q, then k is equal to
Answer» Let $P (a sec θ, b tan θ)$ and $Q (a sec ϕ, b tan ϕ),$ where $θ + ϕ = \frac{π}{2}$ , be two points on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ . If $(h, k)$ is the point of intersection of normals at $P$ and $Q$ , then $k$ is equal to

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