CUET Mathematics 2026 12th May Shift 2 PYQs

The function $f(x) = 2x^3 - 3x^2 - 36x + 7$ is :

A. Increasing in $(-\infty,-2)$

B. Decreasing in $(-2,3)$

C. Neither increasing nor decreasing in $(-2,3)$

D. Increasing in $(3,\infty)$

Choose the correct answer from the options given below:

The rate of change of area of a circle with respect to its circumference when radius is 4cm, is

The point on the curve $y^2 = 8x$ for which the abscissa and ordinate change at the same rate, is