1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \sec ^4 x \cdot \tan ^4 x d x=\frac{\tan ^m x}{m}+\frac{\tan ^n x}{n}+c$$ (where c is constant of integration), then m + n =

A
8
B
12
C
10
D
16
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The x-intercept of a line passing through the points $$\left(\frac{-1}{2}, 1\right)$$ and (1, 2) is :

A
$$-1$$
B
$$-2$$
C
1
D
3
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of the line passing through the points A(2, 2, 1) and B(1, 3, 0) is

A
$$\frac{x+2}{1}=\frac{y+2}{-1}=\frac{z+1}{-1}$$
B
$$\frac{x-2}{-1}=\frac{y-2}{1}=\frac{z-1}{-1}$$
C
$$\frac{x+2}{-1}=\frac{y+2}{1}=\frac{z+1}{-1}$$
D
None of these
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the variance of the numbers $$2,3,11$$ and $$x$$ is $$\frac{49}{4}$$, then the values of $$x$$ are

A
$$6, \frac{14}{3}$$
B
$$4, \frac{13}{5}$$
C
$$6, \frac{16}{3}$$
D
$$6, \frac{14}{5}$$
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