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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
The function f(x)=acos⁡x+btan⁡x+xf\left( x \right) = a\cos x + b\tan x + x has extreme values at x=0x = 0 and x=π6x = \frac{\pi }{6}, then
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Correct option: A
a=−23,b=−1a = - \frac{2}{3},b = - 1
Option C (0,0) is correct because when the tangent is perpendicular to the x-axis, the slope is infinite, implying t=0, which gives the point (0,0).

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