Let A≡(1+sinα,cosα); B≡(1−cosβ,−sinβ). If sinα,sinβ are – InterviewSolution

1.	Let A≡(1+sinα,cosα); B≡(1−cosβ,−sinβ). If sinα,sinβ are the roots of quadratic equation 3sinθ−2sin2θ−1=0 where 0≤θ≤π2 and the distance AB=√a+√b units, then a+b=
Answer» Let $A \equiv (1 + sin α, cos α)$ ; $B \equiv (1 - cos β, - sin β)$ . If $sin α, sin β$ are the roots of quadratic equation $3 sin θ - 2 {sin}^{2} θ - 1 = 0$ where $0 \leq θ \leq \frac{π}{2}$ and the distance $A B = \sqrt{a + \sqrt{b}} units$ , then $a + b =$

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