1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\theta$ is the angle between the lines whose direction cosines are given by $6 \mathrm{mn}-2 \mathrm{n} l+5 l \mathrm{~m}=0$ and $3 l+\mathrm{m}+5 \mathrm{n}=0$, then $\sin \theta=$

A
$\frac{\sqrt{35}}{6}$
B
$\frac{1}{6}$
C
$\frac{\sqrt{37}}{6}$
D
$\frac{5}{6}$
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The line passing through the points $(a, 1,6)$ and $(3,4, \mathrm{~b})$ crosses the $y z$-plane at $\left(0, \frac{17}{2}, \frac{-13}{2}\right)$, then the value of $(3 a+4 b)$ is
A
19
B
16
C
21
D
23
3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The angle between the lines $x=y, z=0$ and $y=0, \mathrm{z}=0$ is

A
$30^{\circ}$
B
$45^{\circ}$
C
$60^{\circ}$
D
$90^{\circ}$
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the foot of the perpendicular drawn from the origin to a plane is $\mathrm{P}(2,-1,4)$, then the equation of the plane is

A
$2 x+y+4 z-19=0$
B
$x+y+z-5=0$
C
$2 x-2 y-3 z+6=0$
D
$2 x-y+4 z-21=0$
MHT CET Subjects
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