CUET Mathematics 2025 3 June Shift 1 PYQs

The function $f(x) = [x]$, where $[x]$ denotes the greatest integer function, is continuous at $x =$

(A) 2.9

(B) 5

(C) -3

(D) 6.5

Choose the correct answer from the options given below:

If $x = e^t$ and $y = e^{2t}$ then $\frac{d^2y}{dx^2} =$

If $y = \left(\log\left(x + \sqrt{x^2+a^2}\right)\right)^2$ and $x \neq \frac{1-a^2}{2}$, then $(x^2+a^2)\frac{d^2y}{dx^2} + x\frac{dy}{dx}$ is equal to: