JEE Mains 15-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 10 of 90

Marks: +1, -0

Let [x] denote the greatest integer function and f(x)=max{1+x+[x],2+x,x+2[x]},0≤x≤2. Let m be the number of points in [0,2], where f is not continuous and n be the number of points in (0,2), where f is not differentiable. Then (m+n)2+2 is equal to

[15-Apr-2023 shift 1]

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1+x;‌	x∈[0,1)
2+x;‌	x∈[1,2)
5;‌	x=2

x;‌	x∈[0,1)
x+2;‌	x∈[1,2)
6;‌	x=2

2+x;‌	x∈[0,2)
6;‌	x=2