AP EAMCET · Maths · Three Dimensional Geometry
If the plane \(56 x+4 y+9 z=2016\) meets the coordinate axes in \(A, B, C\), then the centroid of the \(\triangle A B C\) is
- A \((12,168,224)\)
- B \((12,168,112)\)
- C \(\left(12,168, \frac{224}{3}\right)\)
- D \(\left(12,-168, \frac{224}{3}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(12,168, \frac{224}{3}\right)\)
Step-by-step Solution
Detailed explanation
Given that equation of plane, \(\begin{aligned} & 56 x+4 y+9 z=2016 \\ & \frac{x}{\frac{2016}{56}}+\frac{y}{\frac{2016}{4}}+\frac{z}{\frac{2016}{9}}=1 \end{aligned}\) Also given, this plane meets the coordinate axes at points \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\).…
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