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Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10

Question:

The centroid of a triangle with vertices $(2,3)$, $(4,7)$, $(6,2)$ is:

$(4,4)$
$(4,3)$
$(3,4)$
$(4,5)$

Step-by-Step Solution

Key Concept: Centroid = average of the three vertices' coordinates (this is a direct application of the retained section formula, using the ratio $2:1$ along each median).
Centroid $=\left(\dfrac{2+4+6}{3},\dfrac{3+7+2}{3}\right)=\left(\dfrac{12}{3},\dfrac{12}{3}\right)=(4,4)$. [1.0 Mark]

Correct Answer: $(4,4)$
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