1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Equation of the plane, through the points $(-1,2,-2)$ and $(-1,3,2)$ and perpendicular to $y \mathrm{z}$ - plane, is

A
$4 y+z=10$
B
$4 y-z+10=0$
C
$4 y-z=10$
D
$4 y+z+10=0$
2
MHT CET 2024 10th May Morning 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 is equal to

A
$\frac{-5}{6}$
B
$\frac{5}{6}$
C
$\frac{6}{5}$
D
$\frac{-6}{5}$
3
MHT CET 2024 10th 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 equal to

A
$\frac{124}{49}$
B
$\frac{123}{49}$
C
$\frac{121}{49}$
D
$\frac{122}{49}$
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line $\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$ lies in the plane $x+3 y-\alpha z+\beta=0$, then $(\alpha, \beta)=$

A
$(6,-7)$
B
$(-6,7)$
C
$(5,-15)$
D
$(-5,15)$
MHT CET Subjects
EXAM MAP