Let α, β be two roots of the quadratic equation x^2+ax-b=0,\,b\neq 0. If the straight line x\,\cos \theta+y\,\sin \theta=0 touches the curves (x/\alpha)^n+(y/\beta)^n=2 at the point (α, β), then (a/b)^2+2/b=

TS EAMCET 9-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 68 of 160

Marks: +1, -0

Let α, β be two roots of the quadratic equation x2+ax−b=0,‌b≠0. If the straight line x‌cosθ+y‌sinθ=0 touches the curves (

)n+(

)n=2 at the point (α, β), then (

)2+

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