Let −π6<θ<−π12. Suppose α1 and β1 are the roots of the equati – InterviewSolution

1.	Let −π6<θ<−π12. Suppose α1 and β1 are the roots of the equation x2−2xsecθ+1=0, α2 and β2 are the roots of the equation x2+2xtanθ−1=0. If α1>β1 and α2>β2, then α1+β2 equals
Answer» Let $- \frac{π}{6} < θ < - \frac{π}{12}$ . Suppose $α_{1}$ and $β_{1}$ are the roots of the equation $x^{2} - 2 x s e c θ + 1 = 0$ , $α_{2}$ and $β_{2}$ are the roots of the equation $x^{2} + 2 x t a n θ - 1 = 0$ . If $α_{1} > β_{1}$ and $α_{2} > β_{2}$ , then $α_{1} + β_{2}$ equals

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