CUET Mathematics 2026 22nd May Shift 2 PYQs

If the function $f(x) = x^2-2kx+7$ is increasing on [1, 5] then $k$ belongs to

If $f(x)=2\left(\tan ^{-1}\left(e^{x}\right)-\frac{\pi}{4}\right)$, then $f(x)$ is :

The length of a rectangle is decreasing at the rate of 4 cm/minute and the width is increasing at the rate of 3 cm/minute, then the rate of change of the perimeter is