Coordinate Geometry
RD Sharma
CBSE
Grade 10
Question:
The centroid of a triangle with vertices $(1, 4), (5, -2)$ and $(3, 7)$ is:
(a) $(3, 3)$
(b) $(4, 3)$
(c) $(3, 4)$
(d) $(9, 9)$
Step-by-Step Solution
Key Concept: Centroid $= \left(\dfrac{1 + 5 + 3}{3}, \dfrac{4 - 2 + 7}{3}\right) = (3, 3)$.
$G = \left(\dfrac{9}{3}, \dfrac{9}{3}\right) = (3, 3)$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating centroid $(3, 3)$: 1.0 Mark
Correct Answer: $(3, 3)$
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