Let \A(\sec \\theta, 2 \tan \\theta) and \B(\sec \ϕ, 2 \tan \ϕ),where \\theta+\ϕ=\\pi/ 2, be two points on the hyperbola 2 x^{2}-y^{2}=2. If (\\alpha, \\beta) is the point of the intersection of the normals to the hyperbola at A and B, then (2 \\beta)^{2} is equal to [27 Aug 2021 Shift 2]

Hyperbola

Section: Mathematics

Question : 52 of 92

Marks: +1, -0

Let A(sec‌θ,2‌tan‌θ) and B(sec‌ϕ,2‌tan‌ϕ),where θ+ϕ=

, be two points 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

[27 Aug 2021 Shift 2]

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