The set of all values of a for which the function f(x)=(a^{2}-3a+2)(\cos^{2}x/4-\sin^{2}x/4)+(a-1)x+\sin1does not possess critical points is

Correct Answer is : (0, 1) υ(1, 4)

BITSAT 2016 Paper

Section: Mathematics

Question : 104 of 150

Marks: +1, -0

The set of all values of a for which the function

f(x)=(a2−3a+2)(cos2

−sin2

)+(a−1)x+sin‌1

does not possess critical points is

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Fora=2	f(x)=x+sin‌1
∴f′(x)=1≠0