1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The point of intersection of the lines $${{x - 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 3}$$ and $${{x -5} \over 2} = {{y - 2} \over 1} = z$$ is

A
$$(1,-2,0)$$
B
$$(3,1,0)$$
C
$$(-2,-5,-7)$$
D
None of these
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ is parallel to the plane

A
$$3x + 4y + 5z = 7$$
B
$$2x + 3y + 4z = 0$$
C
$$x + y - z = 2$$
D
$$2x + y - 2z = 0$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The equation of a plane passing through the line of intersection of the planes $$x+2y+3z=2,x-y+z=3$$ and at a distance $$\frac{2}{\sqrt3}$$ from the point $$(3,1,-1)$$ is

A
$$5x - 11y + z = 17$$
B
$$\sqrt 2 x + y = 3\sqrt 2 - 1$$
C
$$x + y + z = \sqrt 3$$
D
$$x - \sqrt 2 y = 1 - \sqrt 2$$
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The angle between the lines $$2x=3y=-z$$ and $$6x=-y=-4z$$ is

A
30$$^\circ$$
B
45$$^\circ$$
C
90$$^\circ$$
D
0$$^\circ$$
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