1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$P$$ is a point on the line segment joining the points $$(3,2,-1)$$ and $$(6,2,-2)$$. If $$x$$ coordinate of $$\mathrm{P}$$ is 5, then its $$y$$ co-ordinate is

A
2
B
0
C
5
D
$$-1$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The vector equation of two lines are

$$\begin{aligned} & \vec{r}=(1-t) \hat{\imath}+(t-2) \hat{\jmath}+(3-2 t) \hat{k} \\ & \vec{r}=(s+1) \hat{\imath}+(2 s-1) \hat{\jmath}-(2 s+1) \hat{k} \end{aligned}$$

Then the shortest distance between them is

A
$$\frac{4}{29}$$
B
$$\frac{4}{\sqrt{29}}$$
C
$$\frac{8}{29}$$
D
$$\frac{8}{\sqrt{29}}$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The place $$x-2 y+z=0$$ is parallel to the line

A
$$\frac{x-3}{4}=\frac{y-4}{5}=\frac{z-3}{6}$$
B
$$\frac{x-2}{1}=\frac{y-2}{-2}=\frac{z-3}{1}$$
C
$$\frac{x-2}{2}=\frac{y-3}{3}=\frac{z-4}{4}$$
D
$$\frac{x-4}{3}=\frac{y-5}{4}=\frac{z-6}{3}$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The lines $$\frac{x-1}{2}=\frac{y-4}{4}=\frac{z-2}{3}$$ and $$\frac{1-x}{1}=\frac{y-2}{5}=\frac{3-z}{a}$$ are perpendicular to each other, then $$a$$ equals to

A
$$-6$$
B
6
C
$$\frac{22}{3}$$
D
$$-\frac{22}{3}$$
COMEDK Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12