CUET Mathematics 2026 15th May Shift 1 PYQs

The slope of the tangent drawn at the point whose x coordinates is 2 on the curve $y = x|x|$.

Let $f(x) = (x-a)^2+(x-b)^2+(x-c)^2$ then $f(x)$ has a minimum value at $x =$

For $x \in \mathbb{R}$, if $f(x) = -(x-1)^2 + 2$, then

(A) $f$ is an increasing function on $(-\infty, 1]$

(B) $f$ has no critical points

(C) $f$ has a maximum value at $x = 1$

(D) $f$ has a minimum value at $x = 1$

Choose the correct answer from the options given below: