CUET Mathematics 2026 15th May Shift 1 PYQs

The line $ax + by = 7$ is a tangent to the curve $y = \frac{x-7}{(x-2)(x-3)}$ at the point where it cuts the x-axis

A. The y-intercept of the line is $-0.7$

B. $b = -7$

C. $a = 1$

D. the line passes through the point $(-13, -1)$

E. $b = -20$

Choose the correct answer from the options given below:

The largest open interval, in which the function $f(x) = \frac{x}{x^2 + 1}$ increases, is

Consider the function $f(x) = x^4 - 2x^2$, then which of the following are TRUE?

A. $f(x)$ is increasing on $(-1,0)$

B. $f(x)$ is decreasing on $(0,1)$

C. $f(x)$ is increasing on $(-\infty,-1)$

D. $f(x)$ is decreasing on $(1,\infty)$

Choose the correct answer from the options given below: