99 Percentile Qs Bank for JEE MainMathematicsFunctions

The number of solution of the equation cos x = x 2 + x + 2 is

Correct answer

Step-by-step solution

we know, 0 ≤ cos x ≤ 1 and minimum value of x 2 + x + 2 is − 1 2 − 4.1.2 4.1 = 7 4 ∵ Minimum value of x 2 + x + 2 is greater than the maximum value of cos x . ∴ No common value of x exist for which cos x = x 2 + x + 2

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