Coordinate Geometry
RD Sharma
CBSE
Grade 10
Question:
Find the centroid of the triangle whose vertices are $(1, 2), (3, -4)$ and font-weight $(-4, 5)$.
Step-by-Step Solution
Key Concept: $G = \left(\dfrac{1 + 3 - 4}{3}, \dfrac{2 - 4 + 5}{3}\right) = \left(0, \dfrac{3}{3}\right) = (0, 1)$.
$x = \dfrac{1 + 3 - 4}{3} = 0$, $y = \dfrac{2 - 4 + 5}{3} = 1$. [1.0 Mark]
Centroid is $(0, 1)$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Applying centroid formula: 1.0 Mark
Evaluating centroid $(0, 1)$: 1.0 Mark
Correct Answer:
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