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

$$\int_\limits0^{\pi / 4} \log (1+\tan x) d x=$$

A
$$\frac{\pi}{16} \log 2$$
B
$$\frac{\pi}{4} \log 2$$
C
$$\frac{\pi}{8} \log 2$$
D
$$\pi \log 2$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A particle is moving on a straight line. The distance $$\mathrm{S}$$ travelled in time $$\mathrm{t}$$ is given by $$\mathrm{S=a t^2+b t+6}$$. If the particle comes to rest after 4 seconds at a distance of $$16 \mathrm{~m}$$. from the starting point, then the acceleration of the particle is.

A
$$\frac{-3}{4} \mathrm{~m} / \mathrm{sec}^2$$
B
$$\frac{-1}{2} \mathrm{~m} / \mathrm{sec}^2$$
C
$$-1 \mathrm{~m} / \mathrm{sec}^2$$
D
$$\frac{-5}{4} \mathrm{~m} / \mathrm{sec}^2$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of a statement 'x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A and x $$\in$$ B)' is

A
x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A or x $$\in$$ B)
B
x $$\in$$ A $$\cap$$ B and (x $$\notin$$ A or x $$\notin$$ B)
C
x $$\in$$ A $$\cap$$ B or (x $$\in$$ A or x $$\in$$ B)
D
x $$\notin$$ A $$\cap$$ B and (x $$\in$$ A and x $$\in$$ B)
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of the plane passing through the point $$(0,7,-7)$$ and containing the line $$\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z+2}{1}$$ is

A
$$2 x+y-z=14$$
B
$$x+2 y+z=7$$
C
$$x+y+z=0$$
D
$$2 x+y+z=0$$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12