1
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
$\frac{9}{2}$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\lambda$ for which the angle between lines $\vec{r}=\hat{\imath}+\hat{\jmath}+\hat{k}+p(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})$ and $\vec{r}=(1+q) \hat{\imath}+(1+q \lambda) \hat{\jmath}+(1+q) \hat{k}$ is $\frac{\pi}{2}$
A
$-$4
B
2
C
$-$2
D
4
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The measure of the angle between the lines $$x=k+1, \quad y=2 k-1, \quad z=2 k+3, \quad k \in R \quad$$ and $$\quad \frac{x-1}{2}=\frac{y+1}{1}=\frac{z-1}{-2}$$ is

A
$$ \cos ^{-1}\left(\frac{4}{9}\right) $$
B
$$ \sin ^{-1}\left(\frac{4}{3}\right) $$
C
$$ \sin ^{-1}\left(\frac{\sqrt{5}}{3}\right) $$
D
$$ \frac{\pi}{2} $$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The co-ordinate of the foot of the perpendicular from $$P(1,8,4)$$ on the line joining $$R(0,-1,3)$$ and $$Q(2,-3,-1)$$ is

A
$$ \left(\frac{-5}{3}, \frac{-2}{3}, \frac{-19}{3}\right) $$
B
$$ \left(\frac{5}{3}, \frac{2}{3}, \frac{-19}{3}\right) $$
C
$$ \left(\frac{-5}{3}, \frac{2}{3}, \frac{19}{3}\right) $$
D
$$ \left(\frac{5}{3}, \frac{2}{3}, \frac{19}{3}\right) $$
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