If for a > 0, the feet of perpendiculars from the points A(a, - 2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, - a, - 1) and D respectively, then the length of line segment CD is equal to:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q2583

JEE Main 202116 Mar, Morning shiftMathematicsHardThree Dimensional Geometry249× since 2002

If for a > 0, the feet of perpendiculars from the points A(a,

-

2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0,

-

-

1) and D respectively, then the length of line segment CD is equal to :

JEE Main 2021 · 16 Mar, Morning shift · Q2583

JEE Main 202116 Mar, Morning shiftMathematicsHardThree Dimensional Geometry249× since 2002

If for a > 0, the feet of perpendiculars from the points A(a,

-

2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0,

-

-

1) and D respectively, then the length of line segment CD is equal to :