JEE Main 2022 — Three Dimensional Geometry Questions with Solutions

If the shortest distance between the lines r → = - i ^ + 3 k ^ + λ i ^ - a j ^ and r → = - j ^ + 2 k ^…

If the shortest distance between the lines x - 1 2 = y - 2 3 = z - 3 λ and x - 2 1 = y - 4 4 = z - 5 5 is 1 3 , th…

The plane passing through the line L : l   x - y + 3 1 - l z = 1 , x + 2 y - z = 2 and perpendicular to the plane…

Let the points on the plane P be equidistant from the points - 4 , 2 , 1 and 2 , - 2 , 3 . Then the acute angle between…

Let the line x - 3 7 = y - 2 - 1 = z - 3 - 4 intersect the plane containing the lines x - 4 1 = y + 1 - 2 = z 1 and 4 a…

If the foot of the perpendicular from the point A - 1 , 4 , 3 on the plane P : 2 x + m y + n z = 4 , is - 2 , 7 2 , 3 2…

If the plane P passes through the intersection of two mutually perpendicular planes 2 x + k y - 5 z = 1 and 3 k x - k y…

Let the image of the point P 1 , 2 , 3 in the line L : x - 6 3 = y - 1 2 = z - 2 3 be Q . let R α , β , &#947…

Let Q be the mirror image of the point P 1 , 0 , 1 with respect to the plane S : x + y + z = 5 . If a line L passing th…

If the length of the perpendicular drawn from the point P a , 4 , 2 , a > 0 on the line x + 1 2 = y - 3 3 = z - 1 -…