CUET Mathematics - Function f(x)=3x, x [0,/2] is decreasing in the interval | PYQs + Solutions | AfterBoards

CUET Mathematics 2026 29th May Shift 2 PYQs

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CUET Mathematics 2026 29th May Shift 2

Calculus

>

Medium

core

$\left[0,\frac{\pi}{2}\right]$

$\left[0,\frac{\pi}{6}\right]$

$\left[\frac{\pi}{6},\frac{\pi}{2}\right]$

$\left[0,\frac{\pi}{4}\right]$

✅ Correct Option: 3

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The sum of two positive numbers is 60. If the sum of their squares in minimum, then the absolute value of the difference of their cubes is

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Consider the function $f(x) = x^3 - 3x$ . Then

Match List-I with List-II

List-I	List-II
(A) Point of local Maxima	(I) 1
(B) Point of local Minima	(II) -1
(C) Local maximum value	(III) 2
(D) Local minimum value	(IV) -2

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The critical points of $f(x) = x^3 + x^2 + x + 1$ are

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