1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

- The edge of a cube is decreasing at the rate of $0.04 \mathrm{~cm} / \mathrm{sec}$. If the edge of the cube is 10 cms , then rate of decrease of surface area of the cube is...

A
$4.8 \mathrm{~cm}^2 / \mathrm{sec}$
B
$4.08 \mathrm{~cm}^2 / \mathrm{sec}$
C
$48 \mathrm{~cm}^2 / \mathrm{sec}$
D
$4.008 \mathrm{~cm}^2 / \mathrm{sec}$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of lines passing through origin and having slopes $(1+\sqrt{2})$ and $\frac{-1}{1+\sqrt{2}}$ is ..........

A
$x^2+2 x y-y^2=0$
B
$x^2-2 \sqrt{2} x y-y^2=0$
C
$x^2-2 \sqrt{2} x y+y^2=0$
D
$x^2+2 x y+y^2=0$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $r$ is the radius of spherical balloon at time $t$ and the surface area of balloon changes at a constant rate $K$, then......

A
$4 \pi r^2=\frac{K t^2}{2}+c$
B
$8 \pi r^2=K t+c$
C
$\pi r^2=\frac{K t^2}{2}+c$
D
$4 \pi r^2=\dot{K} t+c$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^{\frac{\pi}{2}} \sqrt{\cos \theta} \cdot \sin ^3 \theta d \theta=$$ ............

A
$\frac{-20}{21}$
B
$\frac{-8}{21}$
C
$\frac{20}{21}$
D
$\frac{8}{21}$
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