1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $m$, such that $\frac{x-4}{1}=\frac{y-2}{1}=\frac{2 z-m}{3}$ lies in the plane $2 x-5 y+2 z=7$, is

A
8
B
10
C
9
D
7
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The image of the line $\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-5}$ in the plane $2 x-y+z+3=0$ is the line

A
$\frac{x+3}{-3}=\frac{y-5}{-1}=\frac{z+2}{5}$
B
$\frac{x-3}{3}=\frac{y+5}{1}=\frac{z-2}{-5}$
C
$\frac{x-3}{-3}=\frac{y+5}{-1}=\frac{z-2}{5}$
D
$\frac{x+3}{3}=\frac{y-5}{1}=\frac{z-2}{-5}$
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{P}(2,3,6)$ be a point in space and Q be a point on the line $\bar{r}=(\hat{i}-\hat{j}+2 \hat{k})+\mu(-3 \hat{i}+\hat{j}+5 \hat{k})$. Then the value of $\mu$ for which vector $\overline{\mathrm{PQ}}$ is parallel to the plane $x-4 y+4 z=1$ is

A
$\frac{13}{6}$
B
$-\frac{6}{13}$
C
$\frac{6}{13}$
D
$-\frac{13}{6}$
4
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Distance between the parallel lines $\frac{x}{3}=\frac{y-1}{-2}=\frac{z}{1}$ and $\frac{x+4}{3}=\frac{y-3}{-2}=\frac{z+2}{1}$ is

A
$\sqrt{\frac{6}{7}}$ units
B
$\sqrt{\frac{3}{7}}$ units
C
$\sqrt{\frac{3}{14}}$ units
D
$\sqrt{\frac{5}{14}}$ units
MHT CET Subjects
EXAM MAP