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rectangular cartensian co-ordinates — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSrectangular cartensian co-ordinates1 Mark
MCQ
The centroid of a triangle, whose vertices are $(2,1)$, $(5,2)$ and $(3,4)$, is
  • A
    $\left( {\frac{8}{3},\frac{7}{3}} \right)$
  • ✓
    $\left( {\frac{{10}}{3},\frac{7}{3}} \right)$
  • C
    $\left( { - \frac{{10}}{3},\frac{7}{3}} \right)$
  • D
    $\left( {\frac{{10}}{3}, - \frac{7}{3}} \right)$
✓

Answer

Correct option: B.
$\left( {\frac{{10}}{3},\frac{7}{3}} \right)$
b
(b)$x = \frac{{2 + 5 + 3}}{3} = \frac{{10}}{3}$ and $y = \frac{{1 + 2 + 4}}{3} = \frac{7}{3}$.

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