1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the perpendicular from the point $\mathrm{A}(1,-2,-3)$ on the line $\frac{x-1}{2}=\frac{y+3}{-1}=\frac{z+1}{-2}$ is

A
6 units
B
3 units
C
2 units
D
4 units
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the points $(1,-1, \lambda)$ and $(-3,0,1)$ are equidistant from the plane $3 x-4 y-12 z+13=0$, then the sum of all possible values of $\lambda$ is

A
$\frac{7}{3}$
B
$\frac{10}{3}$
C
$\frac{4}{3}$
D
$\frac{5}{3}$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let P be a plane passing through the points $(2,1,0),(4,1,1)$ and $(5,0,1)$ and $R$ be the point $(2,1,6)$. Then image of $R$ in the plane $P$ is

A
$(6,5,2)$
B
$(4,3,2)$
C
$(6,5,-2)$
D
$(3,4,-2)$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane, passing through the point $(-1,2,-3)$ and parallel to the lines $\frac{x-1}{3}=\frac{y-2}{2}=\frac{z}{-4}$ and $\frac{x}{2}=\frac{y-1}{-3}=\frac{z-2}{2}$, is

A
$8 x-14 y-13 z-3=0$
B
$8 x-14 y+13 z+75=0$
C
$8 x+14 y+13 z+19=0$
D
$8 x+14 y-13 z-59=0$
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