CUET Mathematics 2025 26 May Shift 2 PYQs

If

$f(x) = \begin{cases} \frac{\tan(\frac{\pi}{4} - x)}{\cot 2x} & , x ≠ \frac{\pi}{4} \\ 2K + 1 & , x = \frac{\pi}{4} \end{cases}$

is continuous at $x = \frac{\pi}{4}$, then the value of K is equal to

If $y^{1/m} + y^{-1/m} = 2x$, then the value of $(x^2 - 1)\frac{d^2y}{dx^2} + x\frac{dy}{dx}$ is:

The second order derivative of which of the following functions is $5^{\mathrm{x}}$ ?