TS EAMCET · Maths · Three Dimensional Geometry
If a triangle \(A B C\) with two vertices \(A(5,4,6)\) and \(B(1,-1,3)\) has its centroid at \(\left(\frac{10}{3}, 2, \frac{11}{3}\right)\), then the third vertex \(C\) is
- A \((4,2,3)\)
- B \((-4,-3,2)\)
- C \((4,3,2)\)
- D \((2,4,3)\)
Answer & Solution
Correct Answer
(C) \((4,3,2)\)
Step-by-step Solution
Detailed explanation
We have, \(\triangle A B C\) \[ A=(5,4,6), B=(1,-1,3), C=(x, y, z) \] Centroid of \(\triangle A B C\) is \(\left(\frac{10}{3}, 2, \frac{11}{3}\right)\)…
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