1
KCET 2023
+1
-0

A particle moves along the curve $$\frac{x^2}{16}+\frac{y^2}{4}=1$$. When the rate of change of abscissa is 4 times that of its ordinate, then the quadrant in which the particle lies is

A
II or IV
B
III or IV
C
II or III
D
I or III
2
KCET 2023
+1
-0

An enemy fighter jet is flying along the curve, given by $$y=x^2+2$$. A soldier is placed at $$(3,2)$$ wants to shoot down the jet when it is nearest to him. Then, the nearest distance is

A
$$\sqrt{6}$$ units
B
2 units
C
$$\sqrt{5}$$ units
D
$$\sqrt{3}$$ units
3
KCET 2023
+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
$$5.2 ~\pi ~\mathrm{cm}^2 / \mathrm{s}$$
4
KCET 2022
+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
$$(-\infty, 0)$$
EXAM MAP
Medical
NEET