Let A(secθ,2tanθ) and B(secϕ,2tanϕ), where θ+ϕ=π2, be two point – InterviewSolution

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1.	Let A(secθ,2tanθ) and B(secϕ,2tanϕ), where θ+ϕ=π2, be two point on the hyperbola 2x2−y2=2. If (α,β) is the point of the intersection of the normals to the hyperbola at A and B, then (2β)2 is equal to
Answer» Let $A (sec θ, 2 tan θ)$ and $B (sec ϕ, 2 tan ϕ)$ , where $θ + ϕ = \frac{π}{2},$ be two point on the hyperbola $2 x^{2} - y^{2} = 2.$ If $(α, β)$ is the point of the intersection of the normals to the hyperbola at $A$ and $B$ , then $(2 β)^{2}$ is equal to

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