1
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
If the angle between the lines, $${x \over 2} = {y \over 2} = {z \over 1}$$

and $${{5 - x} \over { - 2}} = {{7y - 14} \over p} = {{z - 3} \over 4}\,\,$$ is $${\cos ^{ - 1}}\left( {{2 \over 3}} \right),$$ then p is equal to :
A
$${7 \over 2}$$
B
$${2 \over 7}$$
C
$$-$$ $${7 \over 4}$$
D
$$-$$ $${4 \over 7}$$
2
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Out of Syllabus
The sum of the intercepts on the coordinate axes of the plane passing through the point ($$-$$2, $$-2,$$ 2) and containing the line joining the points (1, $$-$$1, 2) and (1, 1, 1) is :
A
4
B
$$-$$ 4
C
$$-$$ 8
D
12
3
JEE Main 2018 (Offline)
+4
-1
Out of Syllabus
If L1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L2 is the line of intersection of the planes x + 2y - z - 3 = 0, 3x - y + 2z - 1 = 0, then the distance of the origin from the plane, containing the lines L1 and L2, is :
A
$${1 \over {\sqrt 2 }}$$
B
$${1 \over {4\sqrt 2 }}$$
C
$${1 \over {3\sqrt 2 }}$$
D
$${1 \over {2\sqrt 2 }}$$
4
JEE Main 2018 (Offline)
+4
-1
Out of Syllabus
The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane, x + y + z = 7 is :
A
$$\sqrt {{2 \over 3}}$$
B
$${2 \over {\sqrt 3 }}$$
C
$${2 \over 3}$$
D
$${1 \over 3}$$
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