1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The function $f(x)=\tan x-x$

A

always increases

B

always decreases

C

never increases

D

neither increases nor decreases

2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is 180 cm , then

A
Breadth $\leq 15 \mathrm{~cm}$
B
Breadth $\geq 15 \mathrm{~cm}$
C
Length $\leq 15 \mathrm{~cm}$
D
Length $=15 \mathrm{~cm}$
3
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The value of $C$ in $(0,2)$ satisfying the mean value theorem for the function $f(x)=x(x-1)^2, x \in[0,2]$ is equal to

A
$3 / 4$
B
$4 / 3$
C
$1 / 3$
D
$2 / 3$
4
KCET 2024
MCQ (Single Correct Answer)
+1
-0

For the function $f(x)=x^3-6 x^2+12 x-3$; $x=2$ is

A
A point of minimum
B
A point of inflexion
C
Not a critical point
D
A point of maximum
KCET Subjects
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