AP EAMCET · Maths · Three Dimensional Geometry
If the plane \(3 x-2 y-z-18=0\) meets the coordinate axes in \(A, B, C\) then the centroid of \(\triangle A B C\) is
- A \((2,3,-6)\)
- B \((2,-3,6)\)
- C \((-2,-3,6)\)
- D \((2,-3,-6)\)
Answer & Solution
Correct Answer
(D) \((2,-3,-6)\)
Step-by-step Solution
Detailed explanation
Given equation \(3 x-2 y-z=18\) can be rewritten as \[ \begin{aligned} \frac{x}{18 / 3}-\frac{y}{18 / 2}-\frac{z}{18} & =1 \\ \frac{x}{6}-\frac{y}{9}-\frac{z}{18} & =1 \end{aligned} \] \(\therefore\) Points of a coordinates axes are \(A(6,0,0), B(0,-9,0)\) and \(C(0,0,-18)\).…
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