Let a, b, cbe three non-zero real numbers such that the equation 3 acosx+2 bsinx=c, x∈[−2π,2π], has two distinct real roots αand βwith α+β=3π. Then, the value of abis _______.

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Let {a}, {b}, {c}be three non-zero real numbers such that the

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Let $a, b, c$ be three non-zero real numbers such that the equation $3 a cos x + 2 b sin x = c, x \in [- \frac{π}{2}, \frac{π}{2}]$ , 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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Michael Discussed

Let

a, b, c

be three non-zero real numbers such that the equation

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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Question Text	Let $a, b, c$ be three non-zero real numbers such that the equation $3 a cos x + 2 b sin x = c, x \in [- \frac{π}{2}, \frac{π}{2}]$ , has two distinct real roots $α$ and $β$ with $α + β = \frac{π}{3}$ . Then, the value of $\frac{b}{a}$ is _______.
Answer Type	Video solution: 1
Upvotes	151