1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
The length of the perpendicular from the point $P(1,-1,2)$ to the given line $\frac{x+1}{2}=\frac{y-2}{-3}=\frac{z+2}{4}$ is
A
$\sqrt{29}$ units
B
$\sqrt{21}$ units
C
$\sqrt{6}$ units
D
0 units
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If $Q(1,0,1)$ is the image of the point $P(a, b, c)$ in the line $\frac{x+1}{2}=\frac{y-3}{-2}=\frac{z}{-1}$ then $a+b+c$ is equal to :
A
4
B
2
C
0
D
$-$2
3
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
Shortest distance between the lines $\vec{r}=(8+3 \lambda) \hat{\imath}-(9+16 \lambda) \hat{\jmath}+(10+7 \lambda) \hat{k}$ and $\vec{r}=15 \hat{\imath}+29 \hat{\jmath}+5 \hat{k}+\mu(3 \hat{\imath}+8 \hat{\jmath}-5 \hat{k})$ is
A
3 units
B
7 units
C
14 units
D
2 units
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
P is a point on the line joining the points $(3,5,-1)$ and $(6,3,-2)$. If $y$ coordinate of point P is 2 , then $x$ coordinate will be
A
$-5$
B
$\frac{3}{2}$
C
$\frac{15}{2}$
D
$\frac{9}{2}$
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