1
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Out of Syllabus
The square of the distance of the point of intersection

of the line $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z + 1} \over 6}$$ and the plane $$2x - y + z = 6$$ from the point ($$-$$1, $$-$$1, 2) is __________.
2
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Out of Syllabus
Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x $$-$$ y + z + 3 = 0 and let R(3, 5, $$\gamma$$) be a point of this plane. Then the square of the length of the line segment SR is ___________.
3
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
Out of Syllabus
Let Q be the foot of the perpendicular from the point P(7, $$-$$2, 13) on the plane containing the lines $${{x + 1} \over 6} = {{y - 1} \over 7} = {{z - 3} \over 8}$$ and $${{x - 1} \over 3} = {{y - 2} \over 5} = {{z - 3} \over 7}$$. Then (PQ)2, is equal to ___________.
4
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
Out of Syllabus
Let the line L be the projection of the line $${{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 4} \over 2}$$ in the plane x $$-$$ 2y $$-$$ z = 3. If d is the distance of the point (0, 0, 6) from L, then d2 is equal to _______________.