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Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10

Question:

Three points A, B, C are said to be collinear (with B between A and C) precisely when:

$AB=BC$
$AB+BC=AC$
$AB \times BC = AC$
$AB-BC=AC$

Step-by-Step Solution

Key Concept: This is the standard distance-based collinearity test used in the current syllabus (since the coordinate area-of-triangle test has been removed).
Collinearity with $B$ between $A$ and $C$ is confirmed exactly when the sum of the two smaller segments equals the full segment: $AB+BC=AC$. [1.0 Mark]

Correct Answer: $AB+BC=AC$
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