1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y^2=4 a x$$ and its latus-rectum $$x=a$$ is

A
$$\frac{8}{3} a^2$$ sq. units
B
$$\frac{2}{3} a^2$$ sq. units
C
$$\frac{4}{3} a^2$$ sq. units
D
$$8 \mathrm{a}^2$$ sq. units
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\log \sqrt{\tan x}$$, then the value of $$\frac{d y}{d x}$$ at $$x=\frac{\pi}{4}$$ is

A
1
B
$$-1$$
C
$$\frac{1}{2}$$
D
0
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{x}=\mathrm{a}\left(\mathrm{t}-\frac{1}{\mathrm{t}}\right)$$ and $$\mathrm{y}=\mathrm{b}\left(\mathrm{t}+\frac{1}{\mathrm{t}}\right)$$, then $$\frac{\mathrm{dy}}{\mathrm{dx}}=$$

A
$$\frac{a^2 x}{b^2 y}$$
B
$$\frac{a^2 y}{b^2 x}$$
C
$$\frac{-b^2 x}{a^2 y}$$
D
$$\frac{b^2 x}{a^2 y}$$
4
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

A
3300
B
210
C
120
D
25200
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