If a function f(x)=x^2+b x+1 is increasing in the interval [1,2], then the least value of b is : Option 1: 5 Option 2: 0 Option 3: -2 Option 4: -4

The answer is '-2'. View full solution:

CUET Mathematics 2024 - If a function f(x)=x^2+b x+1 is increasing in the interval [1,2], then the least value of b is : | PYQs + Solutions

2026: 22nd May Shift 1

The interval for which the function $f(x)=\frac{x}{x^2+x+1}$ is an increasing function, is:

2025: 21 May Shift 1

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

2026: 29th May Shift 2

For the function $f(x) = (x-1)^3(x-2)^2$

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	$f(x) \geq 0$	I. $x \in (-\infty,1) \cup \left(1,\frac{8}{5}\right) \cup (2,\infty)$
B.	$f(x) < 0$	II. $x \geq 1$
C.	$f(x)$ is increasing if	III. $x < 1$
D.	$f(x)$ is decreasing if	IV. $x \in \left(\frac{8}{5},2\right)$

Choose the correct answer from the options given below:

2025: 30 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The maximum value of $f(x) = \sin(3x) + 6$	(I) 2
(B) The maximum value of $f(x) = -\vert x + 2\vert + 4$	(II) 5
(C) The minimum value of $f(x) = (3x + 1)^2 + 5$	(III) 7
(D) The minimum value of $f(x) = 2 \cos x + 4$	(IV) 4

Choose the correct answer from the options given below:

2025: 22 May Shift 1

The rate of change of volume of a sphere with respect to its surface area, when radius is 4 cm, is equal to

2026: 29th May Shift 1

If an edge of a variable cube is increasing at the rate of 0.8 cm/sec, at what rate its surface area is increasing when its edge is 10 cm?