6 JEE Main 2012 Continuity and Differentiability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 previous-year questions from the Continuity and Differentiability chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Continuity and Differentiability chapter hub.
If x+|y|=2 y, then y as a function of x, at x=0 is
If f: R → R is a function defined by f(x)=[x] ((2 x-1)/(2) ) π, where [x] denotes the greatest integer function, then f…
Statement 1: A function f: R → R is continuous at x₀ if and only if x → x₀ f(x) exists and x → x₀ f(x)=f (x₀ · ) Statem…
Consider the function f(x)=|x-2|+|x-5|, x R. Statement 1: fⁱme(4)=0 Statement 2: f is continuous in [2,5], differentiab…
If f(x)=a| x|+b e|x|+c|x|³, where a, b, c R, is differentiable at x=0, then
Let f:[1,3] → R be a function satisfying (x)/([x]) ≤ f(x) ≤ √(6-x), for all x ≠ 2 and f(2)=1, where R is the set of all…