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Coordinate Geometry · Class 10 · CBSE Mathematics

What is the distance of the point P(-6, 8) from the origin?

Practice question from Coordinate Geometry (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-8A9C01

What is the distance of the point P(−6,8)P(-6, 8) from the origin?

  1. A.66 units
  2. B.88 units
  3. C.1010 unitsCorrect answer
  4. D.1414 units

Solution

The distance of a point (x,y)(x, y) from the origin (0,0)(0, 0) is given by x2+y2\sqrt{x^2 + y^2}. Substituting x=−6x = -6 and y=8y = 8, we get (−6)2+82=36+64=100=10\sqrt{(-6)^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 units.

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