1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

A circular plate of radius $$5 \mathrm{~cm}$$ is heated. Due to expansion, its radius increase at the rate of $$0.05 \mathrm{~cm} / \mathrm{s}$$. The rate at which its area is increasing when the radius is $$5.2 \mathrm{~cm}$$ is

A
$$27.4 ~\pi ~\mathrm{cm}^2 / \mathrm{s}$$
B
$$5.05 ~\pi ~\mathrm{cm}^2 / \mathrm{s}$$
C
$$0.52 ~\pi ~\mathrm{cm}^2 / \mathrm{s}$$
D
$$5.2 ~\pi ~\mathrm{cm}^2 / \mathrm{s}$$
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The function $$f(x)=\log (1+x)-\frac{2 x}{2+x}$$ is increasing on

A
$$(-\infty, \infty)$$
B
$$(\infty,-1)$$
C
$$(-1, \infty)$$
D
$$(-\infty, 0)$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The coordinates of the point on the $$\sqrt{x}+\sqrt{y}=6$$ at which the tangent is equally inclined to the axes is

A
$$(4,4)$$
B
$$(1,1)$$
C
$$(9,9)$$
D
$$(6,6)$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The function $$f(x)=4 \sin ^3 x-6 \sin ^2 x +12 \sin x+100$$ is strictly

A
decreasing in $$\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$$
B
decreasing in $$\left[0, \frac{\pi}{2}\right]$$
C
increasing in $$\left(\pi, \frac{3 \pi}{2}\right)$$
D
decreasing in $$\left(\frac{\pi}{2}, \pi\right)$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12