1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a line with slope $$-\frac{1}{\sqrt{2}}$$ and makes an intercept of $$2 \sqrt{2}$$ units on negative direction of $$y$$-axis is

A
$$\sqrt{2} y-x+4=0$$
B
$$x+\sqrt{2} y+2 \sqrt{2}=0$$
C
$$\sqrt{2} y+x+4=0$$
D
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{\frac{3+2i}{1+i}=\frac{1}{2}(x+iy)}$$, then x $$-$$ y =

A
4
B
3
C
6
D
5
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the angle between the vectors $$\overline{\mathrm{a}}=2 \lambda^2 \hat{\mathrm{i}}+4 \lambda \hat{\mathrm{j}}+\hat{\mathrm{k}}$$ and $$\overline{\mathrm{b}}=7 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\lambda \hat{\mathrm{k}}$$ is obtuse, then $$\lambda \in$$

A
$$ \left(0, \frac{1}{2}\right] $$
B
$$ \left(0, \frac{1}{2}\right) $$
C
$$ \left[0, \frac{1}{2}\right] $$
D
$$ \left[0, \frac{1}{2}\right] $$
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A population P grew at the rate given by the equation $$\frac{dP}{dt}=0.5P$$, then the population will become double in

A
20 (log 2) years
B
10 (log 2) years
C
5 (log 2) years
D
12 (log 2) years
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