Let f(x)=\\begin{array}{c}\\\{\sin (x-[x])\end\frac{array}{x-[x]} , , x \in(-2,-1) ; \max \{2 x, 3[{|x|}]\} , ,{|x|}

JEE Main 24 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 5 of 90

Marks: +1, -0

Let f(x)={

‌

sin(x−[x])

x−[x]

‌

x∈(−2,−1)

max{2x,3[|x|]}

‌

|x|<1

‌

‌ othewise ‌.

where [t] denotes greatest integer ≤t. If m is the number of points where f is not continuous and n is the number of points where f is not differentiable, then the ordered pair (m,n) is :

[24-Jun-2022-Shift-2]

(3,3)
(2,4)
(2,3)
(3,4)

Validate

Go to Question:

Prev Question

Next Question