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AP EAMCET · Maths · Three Dimensional Geometry

If the origin is the centroid of the triangle for which \((-2,3,4)\) and \((3,-1,5)\) are two vertices, then the third vertex is

  1. A \((1,2,9)\)
  2. B \((-1,-2,9)\)
  3. C \((1,-2,-9)\)
  4. D \((-1,-2,-9)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \((-1,-2,-9)\)

Step-by-step Solution

Detailed explanation

Let the vertices of triangle be \[ A(x, y, z), B(-2,3,4), C(3,-1,5) \] Centroid of \(\triangle A B C\) is…