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

The Cartesian equation of the plane, passing through the points $(3,1,1),(1,2,3)$ and $(-1,4,2)$, is

A
$5 x+6 y-2 z-23=0$
B
$-5 x+6 y+2 z+23=0$
C
$5 x+6 y+2 z-23=0$
D
$5 x-6 y+2 z-23=0$
2
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the line passing through the point $(-1,3,-2)$ and perpendicular to each of the lines $\frac{x}{1}=\frac{y}{2}=\frac{z}{3}$ and $\frac{x+2}{-3}=\frac{y-1}{2}=\frac{z+1}{5}$, is

A
$\frac{x+1}{2}=\frac{y-3}{7}=\frac{z+2}{4}$
B
$\frac{x+1}{-2}=\frac{y-3}{-7}=\frac{z+2}{4}$
C
$\frac{x+1}{2}=\frac{y-3}{7}=\frac{z+2}{-4}$
D
$\frac{x+1}{2}=\frac{y-3}{-7}=\frac{z+2}{4}$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line $\frac{x-3}{2}=\frac{y+2}{-1}=\frac{z+4}{3}$ lies in the plane $\ell x+m y-z=9$, then $\ell^2+m^2$ is

A
1
B
4
C
2
D
5
4
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The mirror image of $$\mathrm{P}(2,4,-1)$$ in the plane $$x-y+2 z-2=0$$ is $$(\mathrm{a}, \mathrm{b}, \mathrm{c})$$, then the value of $$a+b+c$$ is

A
4
B
5
C
7
D
9
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