1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ...........

A
$\frac{5}{7}$
B
$\frac{1}{7}$
C
$\frac{7}{15}$
D
$\frac{1}{15}$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{\cos x+x \sin x}{x^2+x \cos x} d x=$$ ...........

A
$\log \left|\frac{x \sin x}{x+\cos x}\right|+c$
B
$\log \left|\frac{x}{x+\cos x}\right|+c$
C
$\log |\cos x+x \sin x|+c$
D
$\log \left|x^2+x \cos x\right|+c$
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of $5 \mathrm{~cm} / \mathrm{sec}$. Then area increased after 2 seconds is ............

A
$100 \pi \mathrm{~cm}^2 / \mathrm{sec}$
B
$40 \mathrm{~cm}^2 / \mathrm{sec}$
C
$50 \mathrm{~cm}^2 / \mathrm{sec}$
D
$25 \mathrm{~cm}^2 / \mathrm{sec}$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=3 x-2$ and $g(x)=x^2$, then $(f \circ g)(x)=$

A
$3 x^2-2$
B
$3 x^2+2$
C
$3 x-2$
D
$2-3 x^2$
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