CUET Mathematics 2025 29 May Shift 2 PYQs

(A) $y = \sin^{-1} x + \sin^{-1} \sqrt{1 - x^2}; |x| < 1$

(I) $\frac{dy}{dx} = \frac{1}{2y-1}$

(B) $y = \sqrt{x + y}, x+y > 0 \text{ and } y \neq \frac{1}{2}$

(II) $\frac{dy}{dx} = 10^x \log_e 10$

(C) $y = \log_{10} x, x > 0$

(III) $\frac{dy}{dx} = 0$

(D) $y = 10^x$

(IV) $\frac{dy}{dx} = \frac{1}{x \log_e 10}$

(A) $f(x) = \dfrac{x^2 + 1}{x}$

(I) $x = 4$

(B) $f(x) = \dfrac{|x - 1|}{x - 1}$

(II) $x = 2$

(C) $f(x) = x - 1$ for $x < 2$ and $x + 1$ for $x \ge 2$

(III) $x = 0$

(D) $f(x) = \dfrac{1 - x}{(x - 4)}$

(IV) $x = 1$