1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The angle between the lines $$\frac{x-1}{4}=\frac{y-3}{1}=\frac{z}{8}$$ and $$\frac{x-2}{2}=\frac{y+1}{2}=\frac{z-4}{1}$$ is

A
$$\cos ^{-1}\left(\frac{2}{3}\right)$$
B
$$\cos ^{-1}\left(\frac{1}{2}\right)$$
C
$$\cos ^{-1}\left(\frac{3}{4}\right)$$
D
$$\cos ^{-1}\left(\frac{1}{3}\right)$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a $$\triangle A B C$$ if $$2 \cos C=\sin B \cdot \operatorname{cosec} A$$, then

A
$$a=c$$
B
$$b=c$$
C
$$a=b=c$$
D
$$a=b$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The order and degree of the differential equation $$\left[1+\left[\frac{d y}{d x}\right]^3\right]^{\frac{7}{3}}=7 \frac{d^2 y}{d x^2}$$ are respectively.

A
2, 1
B
1, 2
C
3, 2
D
2, 3
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The rate at which the metal cools in moving air is proportional to the difference of temperatures between the metal and air. If the air temperature is 290 K and the metal temperature drops from 370 K to 330 K in 10 min , then the time required to drop the temperature upto 295 K is

A
30 min
B
35 min
C
20 min
D
40 min
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