1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int e^{\tan x}\left(\sec ^2 x+\sec ^3 x \sin x\right) d x=$$

A
$$\tan x \cdot e^{\tan x}+c$$
B
$$(1+\tan \mathrm{x}) \mathrm{e}^{\tan \mathrm{x}}+\mathrm{c}$$
C
$$\sec \mathrm{x} \cdot \mathrm{e}^{\tan \mathrm{x}}+\mathrm{c}$$
D
$$\mathrm{e}^{\tan x}+\tan \mathrm{x}+\mathrm{c}$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The product of the perpendicular distances from $$(2,-1)$$ to the pair of lines $$2 x^2-5 x y+2 y^2=0$$ is

A
$$\frac{9}{\sqrt{5}}$$ units
B
$$\frac{1}{\sqrt{5}}$$ units
C
4 units
D
9 units
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For two data sets each of size 5 , the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is

A
$$\frac{13}{2}$$
B
$$\frac{5}{2}$$
C
$$\frac{11}{2}$$
D
$$\frac{15}{2}$$
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of ways in which 8 different pearls can be arranged to form a necklace is

A
40320
B
5040
C
2520
D
1260
MHT CET Papers
EXAM MAP