AP EAMCET · Maths · Straight Lines
If the plane \(56 x+4 y+9 z=2016\) meets the coordinate axes in \(A, B\) and \(C\), 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 \(\left(12,168, \frac{224}{}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(12,168, \frac{224}{3}\right)\)
Step-by-step Solution
Detailed explanation
The given equation of plane is : \(56 x+4 y+9 z=2016\) \(\begin{aligned} & \Rightarrow \frac{56 x}{2016}+\frac{y}{504}+\frac{z}{224}=1 \\ & \Rightarrow \frac{x}{36}+\frac{y}{504}+\frac{z}{224}=1\end{aligned}\) Then co-ordinate of \(A, B\) and \(C\) are \((36,0,0),(0,504,0)\) and…
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