CUET Mathematics - If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Medium

$\frac{1}{2\pi}$ unit

$\frac{1}{\pi}$ unit

$\frac{\pi}{2}$ unit

$\pi$ unit

✅ Correct Option: 2

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The interval in which the function $f(x) = 2x^3 - 3x^2 - 36x + 7$ is strictly decreasing is :

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The point(s) on the curve $\frac{x^2}{9} + \frac{y^2}{64} = 1$ , at which the tangents are parallel to x-axis are

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Match List-I with List-II

The function $f(x) = (x - 1)(x + 1)^2$ has

List-I	List-II
(A) A local maxima at $x =$ ____	(I) $\frac{1}{3}$
(B) A local minima at $x =$ ____	(II) 0
(C) The local minimum value of $f(x) =$ ____	(III) -1
(D) The local maximum value of $f(x) =$ ____	(IV) $-\frac{32}{27}$

Choose the correct answer from the options given below:

CUET Mathematics 2023 22 May Shift 3 PYQs