Let the function f(x) = (x² - 1)|x² - ax + 2| + cos|x| be not dif… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Differentiability

Let the function $f(x) = (x^2 - 1)|x^2 - ax + 2| + \cos|x|$ be not differentiable at the two points $x = \alpha = 2$ and $x = \beta$ . Then the distance of the point $(\alpha, \beta)$ from the line $12x + 5y + 10 = 0$ is equal to:

A
$3$
B
$4$
C
$2$
D
$5$

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