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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The points A(1, 2, 3), B(−1, −2, −1), C(2, 3, 2) and D(4, 7, 6) form:

Answer: A parallelogram, since both pairs of opposite sides are equal and the diagonals bisect each other.

  • A A parallelogram, since both pairs of opposite sides are equal and the diagonals bisect each other
  • B An equilateral triangle with one repeated vertex according to standard results
  • C A regular tetrahedron in most documented configurations
  • D Four collinear points under typical conditions

Correct answer: A. A parallelogram, since both pairs of opposite sides are equal and the diagonals bisect each other

Explanation: The midpoints of AC and BD coincide, which is the defining test for a parallelogram: the diagonals bisect each other.

zxyOP(x, y, z)first octant:x>0, y>0, z>0

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula

Read the full Introduction to Three Dimensional Geometry notes →