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

The value of m , such that $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-m}{2}$ lies in the plane $2 x-4 y+z=7$, is

A
7
B
$-$7
C
no real value
D
4
2
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
3
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
$\frac{5}{3}$
4
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
$(3,4,-2)$
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