JEE Mains 27-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

For k∈ℝ, let the solutions of the equation
cos(sin−1(x‌cot(tan−1(cos(sin−1x)))))=k,0<|

‌

x|<‌

√2

be α and β, where the inverse trigonometric functions take only principal values. If the solutions of the equation x2−bx−5=0 are ‌

α2

+‌

β2

and ‌

, then ‌

is equal to ________.

[27-Jul-2022-Shift-1]

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