MHT CET · Maths · Straight Lines
If \(\mathrm{A} \equiv(\mathrm{x}, 4,-1), \mathrm{B} \equiv(3, \mathrm{x},-5)\) and \(\mathrm{C} \equiv(2,-2,3)\) are the vertices and \(\mathrm{G} \equiv(2,1,-1)\) is the centroid of the triangle \(A B C\), then the value of \(x\) is
- A 3
- B 1
- C \(-2\)
- D 2
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & G \equiv\left(\frac{x+3+2}{3}, \frac{4+x-2}{3}, \frac{-1-5+3}{3}\right) \equiv(2,1,-1) \\ & \Rightarrow x=1\end{aligned}\)
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