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Limits Continuity and Differentiability question

2025 · 29 Jan · Shift 2 · Q45

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 29 Jan · Shift 2 · Q45

Limits Continuity and Differentiability question

2025 · 29 Jan · Shift 2 · Q45

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let the function

f(x)=\left(x^2-1\right)\left|x^2-a x+2\right|+\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

12 x+5 y+10=0

is equal to :

A
5
B
2
C
4
D
3

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