Zaymiey

📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The vertices A(0, 7, 10), B(−1, 6, 6) and C(−4, 9, 6) form a triangle that is:

Answer: Right angled and isosceles.

  • A Equilateral
  • B Scalene with no right angle
  • C Degenerate, since the points are collinear
  • D Right angled and isosceles

Correct answer: D. Right angled and isosceles

Explanation: AB² = 18, BC² = 18 and AC² = 36, so AB = BC and AB² + BC² = AC² - right angled at B and isosceles.

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 →