Question:medium

If a, b are real numbers and $\alpha$ is a real root of $x^2+12+3\sin(a+bx)+6x=0$ then the value of $\cos(a+b\alpha)$ for the least positive value of $a+b\alpha$ is

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When an equation mixes polynomial and trigonometric functions, try to find the range of each part. If the ranges only intersect at a single point, any solution must make both sides equal to that point.

Updated On: Mar 30, 2026

-1
$1/\sqrt{2}$
$1/2$
0

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The Correct Option is D

Solution and Explanation

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If a, b are real numbers and $\alpha$ is a real root of $x^2+12+3\sin(a+bx)+6x=0$ then the value of $\cos(a+b\alpha)$ for the least positive value of $a+b\alpha$ is

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The Correct Option is D

Solution and Explanation

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