1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $$\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$$ and $$\frac{x-2}{1}=\frac{y+m}{2}=\frac{z-2}{1}$$ intersect each other, then value of m is

A
1
B
$$-$$2
C
2
D
$$-$$1
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of perpendicular drawn from the point $$2 \hat{i}-\hat{j}+5 \hat{k}$$ to the line $$\overline{\mathrm{r}}=(11 \hat{i}-2 \hat{j}-8 \hat{k})+\lambda(10 \hat{i}-4 \hat{j}-11 \hat{k})$$ is

A
$$\sqrt{14}$$ units
B
14 units
C
237 units
D
$$\sqrt{237}$$ units
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \text { If } u=\cos ^3 x, v=\sin ^3 x \text {, then }\left(\frac{d v}{d u}\right)_{x=\frac{\pi}{4}} \text { is equal to } $$

A
$$-$$2
B
2
C
1
D
$$-$$1
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The arithmetic mean of marks in Mathematics for four divisions A, B, C and D were $$80,75,70$$ and 72 respectively. Their standard deviations were $$12,6,8$$ and 10 respectively. Then, division ______ has more uniformity.

A
D
B
B
C
C
D
A
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