Instructions

For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer

Question 49

Let a, b, c be three non-zero real numbers such that the equation $$\sqrt{3}a \cos x+2b \sin x=C,X \in [-\frac{\pi}{2},\frac{\pi}{2}]$$ has two distinct real roots $$\alpha$$ and $$\beta$$ with$$\alpha+\beta=\frac{\pi}{3}$$, then the value of $$\frac{b}{a}$$ is ....... .

Correct Answer: e

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JEE (Advanced) 2018 Paper-1

Let a, b, c be three non-zero real numbers such that the equation $$\sqrt{3}a \cos x+2b \sin x=C,X \in [-\frac{\pi}{2},\frac{\pi}{2}]$$ has two distinct real roots $$\alpha$$ and $$\beta$$ with$$\alpha+\beta=\frac{\pi}{3}$$, then the value of $$\frac{b}{a}$$ is ....... .

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