Zaymiey

📐 Mathematics  ·  Three Dimensional Geometry  ·  JEE

The line through A(2,1,3) and B(4,3,9) meets x+y+z=6 at the point:

Answer: Midpoint of AB.

  • A A itself
  • B B itself
  • C Midpoint of AB
  • D (3,2,6)

Correct answer: C. Midpoint of AB

Explanation: Midpoint M = (3,2,6). Check: 3+2+6=11 not 6. Parametric: (2+2t,1+2t,3+6t). Sum = 6+10t = 6, t=0. Point = A = (2,1,3). So answer is A itself.

zxyOP (x, y, z)

Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.

Concept context

Lines and planes in 3D space, direction cosines, distances, and angles

Read the full Three Dimensional Geometry notes →