The function f(x) = 2_e(x-2) - x^2 + 4x + 1, (x > 2) is increasing on the interval: Option 1: (1, 2) Option 2: (2, 6) Option 3: (2, 3) Option 4: (3, ∞)

The answer is '(2, 3)'. View full solution:

CUET Mathematics 2025 - The function f(x) = 2_e(x-2) - x^2 + 4x + 1, (x > 2) is increasing on the interval: | PYQs + Solutions

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The point on the curve $\frac{x^2}{4} + \frac{y^2}{9} = 1$ at which the tangent to the curve is parallel to the x-axis is

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The volume of a cube is increasing at the rate 9 $cm^3/s$ . How fast is the surface area increasing when the length of an edge is 10 cm ?

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The sides of an equilateral triangle are increasing at the rate of 5 cm/sec. The rate at which the area increases when the side is 20 cm, is

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The interval in which the function $f(x) = 2x^3 + 3x^2 - 12x + 1$ is strictly increasing is -

2026: 19th May Shift 1

For $f(x) = x^3 - 6x^2 + 9x + 15$ , which of the following statements are TRUE?

(A) $f'(x) = 3x^2 - 12x + 15$ .

(B) The critical points are 3 and 1.

(C) $x = 1$ is a point of local maxima.

(D) Local minimum value is 19.

Choose the correct answer from the options given below:

2026: 21st May Shift 1

Match List-I with List-II

List-I	List-II
(A) The interval in which $f(x) = x^2 - 4x + 17$ is increasing.	(I) $(-5,\infty)$
(B) The interval in which $f(x) = x^2 - 4x + 17$ is decreasing.	(II) $(-\infty,-5)$
(C) The interval in which $f(x) = 3x^2 + 30x - 7$ is increasing.	(III) $(2,\infty)$
(D) The interval in which $f(x) = 3x^2 + 30x - 7$ is decreasing.	(IV) $(-\infty,2)$

Choose the correct answer from the options given below: