1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The lines $\frac{x-0}{1}=\frac{y-2}{2}=\frac{z+3}{\lambda}$ and $\frac{x-2}{2}=\frac{y-6}{3}=\frac{z-3}{\lambda}$ are coplanar and $p$ is the plane containing these lines, then which of following point does not lie on the plane.

A
$(1,6,4)$
B
$(2,8,7)$
C
$(1,2,3)$
D
$(4,10,9)$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the foot of the perpendicular from the point $\left(1, \frac{3}{2}, 2\right)$ to the plane $2 x-2 y+4 z+17=0$ is

A
$\sqrt{6}$ units
B
$3 \sqrt{3}$ units
C
$4 \sqrt{3}$ units
D
$2 \sqrt{6}$ units
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $\frac{1-x}{2}=\frac{7 y+4}{2 \lambda}=\frac{2 z-5}{2}$ and $\frac{7-7 x}{3 \lambda}=\frac{y-1}{7}=\frac{6-\mathrm{z}}{5}$ are at right angle, then the value of $\lambda$ is

A
$\frac{4}{7}$
B
$\frac{7}{4}$
C
$\frac{20}{7}$
D
$\frac{5}{4}$
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In 3-dimensional space, the equation $x^2-8 x+12=0$ represents ....
A
two straight lines
B
a pair of straight lines passing through the origin
C
2 planes parallel to YZ -plane
D
2 planes parallel to $X Z$-plane
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