AP EAMCET · Maths · Three Dimensional Geometry
If the plane \(7 x+11 y+13 z=3003\) meets the co-ordinate axes in \(A, B, C\), then the centroid of the \(\triangle A B C\) is
- A \((143,91,77)\)
- B \((143,77,91)\)
- C \((91,143,77)\)
- D \((x+6)^2+(y+6)^2=25\)
Answer & Solution
Correct Answer
(A) \((143,91,77)\)
Step-by-step Solution
Detailed explanation
Given plane is \(7 x+11 y+13 z=3003\) \[ \begin{array}{ll} \Rightarrow & \frac{7 x}{3003}+\frac{11 y}{3003}+\frac{13 z}{3003}=1 \\ \Rightarrow & \frac{x}{429}+\frac{y}{273}+\frac{z}{231}=1 \end{array} \] This plane meets the coordinate axes. The coordinates are…
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