AP EAMCET · Maths · Straight Lines
If the orthocenter and circumcenter of a triangle respectively are \((3,-4,2)\) and \((2,1,3)\), then its centroid is
- A \(\left(\frac{-7}{3}, \frac{6}{3}, \frac{-4}{3}\right)\)
- B \(\left(\frac{7}{3}, \frac{-6}{3}, \frac{4}{3}\right)\)
- C \(\left(\frac{7}{3}, \frac{-6}{3}, \frac{-4}{3}\right)\)
- D \(\left(\frac{7}{3}, \frac{-2}{3}, \frac{8}{3}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(\frac{7}{3}, \frac{-2}{3}, \frac{8}{3}\right)\)
Step-by-step Solution
Detailed explanation
Given, orthocentre and circumcentre of triangle are \((3,-4,2)\) and \((2,1,3)\) respectively We know that centroid of triangle is divide orthocentre and circumcentre in the ratio \(2: 1\). \(\therefore\) Centroid of triangle is…
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