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

$$\int\left[-\frac{\log x-1}{1+(\log x)^2}\right]^2 d x=$$

A
$$\frac{x}{1+(\log x)^2}+c$$
B
$$\frac{x}{(1+\log x)}+c$$
C
$$\frac{x^2}{1+(\log x)^2}+c$$
D
$$\frac{1}{1+(\log x)^2}+c$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{d x}{\cos 2 x-\cos ^2 x}=$$

A
$$-\tan x+c$$
B
$$\cot x+c$$
C
$$\tan x+c$$
D
$$-\cot x+c$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area included between the parabolas $$y^2=5 x$$ and $$x^2=5 y$$ is

A
$$\frac{25}{3}$$ sq units
B
25 sq units
C
$$\frac{25}{4}$$ sq units
D
$$\frac{25}{7}$$ sq units
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The straight lines represented by the equation $$9 x^2-12 x y+4 y^2=0$$ are

A
coincident
B
perpendicular
C
intersect at $$60^{\circ}$$
D
parallel
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