Let a,b,c be three non zero real numbers such that the equation √3 a – InterviewSolution

1.	Let a,b,c be three non zero real numbers such that the equation √3 acosx+2 bsinx=c, x∈[−π2,π2] has two distinct real roots α and β with α+β=π3. Then, the value of ba is .
Answer» Let $a, b, c$ be three non zero real numbers such that the equation $\sqrt{3} a cos x + 2 b sin x = c, x \in [- \frac{π}{2}, \frac{π}{2}]$ has two distinct real roots $α$ and $β$ with $α + β = \frac{π}{3}$ . Then, the value of $\frac{b}{a}$ is .

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