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Question

The number of integral solution(s) of cos1(4x312x2+11x52)=π3 is

A
0
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B
3
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C
1
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D
2
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Solution

The correct option is C 1
Given : cos1(4x312x2+11x52)=π3
4x312x2+11x52=cosπ3
4x312x2+11x52=12
4x312x2+11x3=0
By observation, x=1 satisfied above equation. Hence, (x1) must be a factor.
(x1)(4x28x+3)=0
(x1)(2x3)(2x1)=0
x=1,32,12
Only one integral solution.

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