1
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
$$\frac{15}{8} \mathrm{~m} / \mathrm{sec}$$.
2
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
$$\mathrm{a}=0, \mathrm{~b}=0$$
3
MHT CET 2023 10th May Morning Shift
+2
-0

A kite is $$120 \mathrm{~m}$$ high and $$130 \mathrm{~m}$$ of string is out. If the kite is moving away horizontally at the rate of $$39 \mathrm{~m} / \mathrm{sec}$$, then the rate at which the string is being out, is

A
$$12 \mathrm{~m} / \mathrm{sec}$$.
B
$$15 \mathrm{~m} / \mathrm{sec}$$.
C
$$18 \mathrm{~m} / \mathrm{sec}$$.
D
$$20 \mathrm{~m} / \mathrm{sec}$$.
4
MHT CET 2023 9th May Evening Shift
+2
-0

If slope of a tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2, then a - b is

A
3
B
1
C
2
D
$$-$$1
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