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Coordinate Geometry

CH07 Question Bank

CBSE_CH07_QUESTION_BANK

Grade 10

Question:

The coordinates of the point dividing the line segment joining $(2,3)$ and $(8,9)$ internally in the ratio $1:2$ are:

$(4,5)$
$(5,6)$
$(6,7)$
$(3,4)$

Step-by-Step Solution

Key Concept: Direct application of the section formula.

$x=\dfrac{1(8)+2(2)}{1+2}=\dfrac{8+4}{3}=4$; $y=\dfrac{1(9)+2(3)}{3}=\dfrac{9+6}{3}=5$. [1.0 Mark]

Correct Answer: $(4,5)$

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