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

The distance of the point $(1,3,-7)$ from the plane passing through the point $(1,-1,-1)$ having normal perpendicular to both the lines $\frac{x-1}{1}=\frac{y+2}{-2}=\frac{z-4}{3}$ and $\frac{x-2}{2}=\frac{y+1}{-1}=\frac{z+7}{-1}$ is

A
$\frac{10}{\sqrt{83}}$ units.
B
$\frac{5}{\sqrt{83}}$ units.
C
$\frac{10}{\sqrt{74}}$ units.
D
$\frac{20}{\sqrt{74}}$ units.
2
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
3
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
4
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
$\frac{5}{3}$
MHT CET Subjects
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