CUET Mathematics - Let f(x) be a function defined by f(x) = 2x^3 - 24x + 107. If and are the maximum and minimum values respectively in the interval [1,3], then - is equal to: | PYQs + Solutions

CUET Mathematics 2026 31st May Shift 2

Calculus

Medium

applied

✅ Correct Option: 1

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In a sphere of radius $r$ , a right circular cone of height $h$ having a maximum curved surface area is inscribed. The expression for the curved surface area of the cone is

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Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	$y = x^2$	I.	decreasing on $(0, \infty)$
B.	$y = -x^2$	II.	increasing on $(0, \infty)$
C.	$y = x$	III.	decreasing on $(-\infty, \infty)$
D.	$y = -x$	IV.	increasing on $(-\infty, \infty)$

Choose the correct answer from the options given below:

31st May Shift 2

Let $f(x)$ be a function defined on an interval $[a,b]$ such that $f(x)$ is differentiable on $(a,b)$ . Then

Match the LIST-I with LIST-II

	LIST-I Where $I$ is subset of $[a,b]$		LIST-II
A.	function $f(x)$ is increasing on interval $I$	I.	$f'(x) < 0\ \ \forall x \in I$
B.	function $f(x)$ has local maxima at $x = a$	II.	$f'(a) = 0\ \&\ f''(a) > 0$
C.	function $f(x)$ has local minima at $x = a$	III.	$f'(x) > 0\ \ \forall x \in I$
D.	function $f(x)$ is decreasing on interval $I$	IV.	$f'(a) = 0\ \&\ f''(a) < 0$

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CUET Mathematics 2026 31st May Shift 2 PYQs

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