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

The distance between the parallel lines $$\frac{x-2}{3}=\frac{y-4}{5}=\frac{z-1}{2}$$ and $$\frac{x-1}{3}=\frac{y+2}{5}=\frac{z+3}{2}$$ is

A
$$\frac{1}{\sqrt{38}}$$ units
B
$$\sqrt{\frac{333}{38}}$$ units
C
$$\sqrt{\frac{300}{37}}$$ units
D
$$\sqrt{\frac{300}{35}}$$ units
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The coordinates of the foot of the perpendicular drawn from the origin to the plane $$2 x+y-2 z=18$$ are

A
$$(4,2,-4)$$
B
$$(1,2,-3)$$
C
$$(4,2,4)$$
D
$$(4,-2,-4)$$
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The vector equation of the line passing through $$\mathrm{P}(1,2,3)$$ and $$\mathrm{Q}(2,3,4)$$ is

A
$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})$$
B
$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}-\hat{j}-\hat{k})$$
C
$$(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})+\lambda(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}})$$
D
$$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+6 \hat{j}+12 \hat{k})$$
4
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Equation of planes parallel to the plane $$x-2y+2z+4=0$$ which are at a distance of one unit from the point (1, 2, 3) are

A
$$x+2 y+2 z=6, x+2 y+2 z=0$$
B
$$x-2 y+2 z=0, x-2 y+2 z-6=0$$
C
$$x-2 y-6=0, x-2 y+z=6$$
D
$$x+2 y+2 z=-6, x+2 y+2 z=5$$
MHT CET Subjects
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