1
MHT CET 2023 10th May Morning Shift
+2
-0

An open metallic tank is to be constructed, with a square base and vertical sides, having volume 500 cubic meter. Then the dimensions of the tank, for minimum area of the sheet metal used in its construction, are

A
$$5 \mathrm{~m}, 5 \mathrm{~m}, 10 \mathrm{~m}$$
B
$$10 \mathrm{~m}, 10 \mathrm{~m}, 5 \mathrm{~m}$$
C
$$2 \mathrm{~m}, 2 \mathrm{~m}, 8 \mathrm{~m}$$
D
$$15 \mathrm{~m}, 15 \mathrm{~m}, 5 \mathrm{~m}$$
2
MHT CET 2023 10th May Morning Shift
+2
-0

A square plate is contracting at the uniform rate $$4 \mathrm{~cm}^2 / \mathrm{sec}$$, then the rate at which the perimeter is decreasing, when side of the square is $$20 \mathrm{~cm}$$, is

A
$$\frac{1}{5} \mathrm{~cm} / \mathrm{sec}$$.
B
$$4 \mathrm{~cm} / \mathrm{sec}$$.
C
$$2 \mathrm{~cm} / \mathrm{sec}$$.
D
$$\frac{2}{5} \mathrm{~cm} / \mathrm{sec}$$.
3
MHT CET 2023 10th May Morning Shift
+2
-0

A ladder of length $$17 \mathrm{~m}$$ rests with one end against a vertical wall and the other on the level ground. If the lower end slips away at the rate of $$1 \mathrm{~m} / \mathrm{sec}$$., then when it is $$8 \mathrm{~m}$$ away from the wall, its upper end is coming down at the rate of

A
$$\frac{5}{8} \mathrm{~m} / \mathrm{sec}$$.
B
$$\frac{8}{15} \mathrm{~m} / \mathrm{sec}$$.
C
$$\frac{-8}{15} \mathrm{~m} / \mathrm{sec}$$.
D
$$\frac{15}{8} \mathrm{~m} / \mathrm{sec}$$.
4
MHT CET 2023 10th May Morning Shift
+2
-0

If the line $$a x+b y+c=0$$ is a normal to the curve $$x y=1$$, then

A
$$a > 0, b > 0$$
B
$$a > 0, b < 0$$
C
$$a < 0 , b < 0$$
D
$$\mathrm{a}=0, \mathrm{~b}=0$$
EXAM MAP
Medical
NEET