Let \pi/6< \theta< \pi /12.Suppose \alpha_1 and \beta_1,are the roots of the equation x^2-2xsec\theta+1=0 and \alpha_2 and \beta_2 ,are the roots of the equation x^2+2xtan\theta-1=0.If \alpha_1>\beta_1 and \alpha_2>\beta_2 then\alpha_1+\beta_2 equals [JEE Adv 2016 P1]

Quadratic Equation and Inequalities

Section: Mathematics

Question : 10 of 23

Marks: +1, -0

Let

<θ<

.Suppose α1 and β1,are the roots of the equation x2−2xsecθ+1=0 and α2 and β2 ,are the roots of the equation x2+2xtanθ−1=0.If α1>β1 and α2>β2 thenα1+β2 equals

[JEE Adv 2016 P1]

2(secθ-tanθ)
2secθ
−2tanθ
0

Validate

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