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Coordinate Geometry

CH07 Question Bank

CBSE_CH07_QUESTION_BANK

Grade 10

Question:

If $P(2,-1)$ is the midpoint of segment $AB$, and $A=(6,3)$, then $B$ is:

$(-2,-5)$
$(4,2)$
$(-2,5)$
$(2,-5)$

Step-by-Step Solution

Key Concept: Use the midpoint formula in reverse: B = 2P - A.

$B_x=2(2)-6=-2$; $B_y=2(-1)-3=-5$. [1.0 Mark]

Correct Answer: $(-2,-5)$

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