AP EAMCET · Maths · Three Dimensional Geometry
Let the centroid of a triangle formed by the points \(A(4, x, 1), B(y,-5,2)\) and \(C(7,8,3)\) be \(G(3,5,2)\) and \(C G\) meet \(A B\) in \(F\). Then, \(F=\)
- A \(\left(\frac{5}{2}, \frac{3}{2}, \frac{5}{2}\right)\)
- B \(\left(\frac{11}{2}, 10,2\right)\)
- C \(\left(1, \frac{7}{2}, \frac{3}{2}\right)\)
- D \((10,12,5)\)
Answer & Solution
Correct Answer
(C) \(\left(1, \frac{7}{2}, \frac{3}{2}\right)\)
Step-by-step Solution
Detailed explanation
Coordinate of \[ G=\left(\frac{4+y+7}{3}, \frac{x-5+8}{3}, \frac{1+2+3}{3}\right) \]…
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