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Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10

Question:

Find the coordinates of the point which divides the line segment joining $(4,-1)$ and $(-2,-3)$ internally in the ratio $1:2$ (the first point of trisection).

Step-by-Step Solution

Key Concept: Apply the section formula with ratio 1:2.
$x=\dfrac{1(-2)+2(4)}{1+2}=\dfrac{-2+8}{3}=2$. [1.0 Mark]

$y=\dfrac{1(-3)+2(-1)}{3}=\dfrac{-3-2}{3}=-\dfrac53$. So the point is $\left(2,-\dfrac53\right)$. [1.0 Mark]

Correct Answer:
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