1
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the distance between the plane Ax-2y+z $=\mathrm{d}$ and the plane containing the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is $\sqrt{6}$ units, then $|d|$ is

A
1
B
$\sqrt{6}$
C
2
D
6
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the projection of the line segment joining the points $(5,-1,4)$ and $(4,-1,3)$ on the plane $x+y+z=7$ is

A
$\sqrt{\frac{2}{3}}$ units
B
$\frac{2}{\sqrt{3}}$ units
C
$\frac{2}{3}$ units
D
$\frac{\sqrt{2}}{3}$ units
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A line makes $45^{\circ}$ angle with positive X -axis and makes equal angles with positive Y -axis ad Z-axis respectively, then the sum of the three angles which the line makes with positive X -axis, Y -axis and Z -axis is

A
$135^{\circ}$
B
$150^{\circ}$
C
$165^{\circ}$
D
$180^{\circ}$
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $\frac{x-1}{2}=\frac{y+2}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\mathrm{k}}{2}=\frac{\mathrm{z}}{1}$ intersect, then k has the value

A
$\frac{7}{2}$
B
$\frac{3}{2}$
C
$\frac{-7}{2}$
D
$\frac{-3}{2}$
MHT CET Subjects
EXAM MAP