1
JEE Main 2013 (Offline)
+4
-1
If the lines $${{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}$$ and $${{x - 1} \over k} = {{y - 4} \over 2} = {{z - 5} \over 1}$$ are coplanar, then $$k$$ can have :
A
any value
B
exactly one value
C
exactly two values
D
exactly three values
2
AIEEE 2012
+4
-1
Out of Syllabus
A equation of a plane parallel to the plane $$x-2y+2z-5=0$$ and at a unit distance from the origin is :
A
$$x-2y+2z-3=0$$
B
$$x-2y+2z+1=0$$
C
$$x-2y+2z-1=0$$
D
$$x-2y+2z+5=0$$
3
AIEEE 2012
+4
-1
If the line $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $${{x - 3} \over 1} = {{y - k} \over 2} = {z \over 1}$$ intersect, then $$k$$ is equal to :
A
$$-1$$
B
$${2 \over 9}$$
C
$${9 \over 2}$$
D
$$0$$
4
AIEEE 2011
+4
-1
Out of Syllabus
If the angle between the line $$x = {{y - 1} \over 2} = {{z - 3} \over \lambda }$$ and the plane

$$x+2y+3z=4$$ is $${\cos ^{ - 1}}\left( {\sqrt {{5 \over {14}}} } \right),$$ then $$\lambda$$ equals :
A
$${3 \over 2}$$
B
$${2 \over 5}$$
C
$${5 \over 3}$$
D
$${2 \over 3}$$
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