JEE Advanced 2020 Paper 1

Section: Mathematics

Question : 38 of 54

Marks: +1, -0

If the function f : R → R is defined by f(x)=|x|(x−sinx), then which of the following statements is TRUE?

[JEE Adv 2020 P1]

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−x(x−sin‌x),	x<0
x(x−sin‌x),	x≥0

−x2+x‌sin‌x‌,	x<0
x2−x‌sin‌x‌,	x≥0

−2x+x‌cos‌x+sin‌x‌,	x<0
2x−x‌cos‌x−sin‌x‌,	x>0

−(x−sin‌x)−x(1−cos‌x),	x<0
(x−sin‌x)+x(1−cos‌x),	x>0