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Coordinate Geometry

CH07 Question Bank

CBSE_CH07_QUESTION_BANK

Grade 10

Question:

A point $P$ divides the segment joining $A(2,1)$ and $B(5,-8)$ such that $AP:PB=1:2$. The $x$-coordinate of $P$ is:

$3$
$4$
$2$
$5$

Step-by-Step Solution

Key Concept: Apply the section formula for the x-coordinate directly.

$P_x=\dfrac{1(5)+2(2)}{1+2}=\dfrac{5+4}{3}=3$. [1.0 Mark]

Correct Answer: $3$

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