Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10
Question:
Determine, using the distance formula, whether the points $(3,3)$, $(6,0)$, and $(9,-3)$ are collinear.
Step-by-Step Solution
Key Concept: Compute all three pairwise distances and check whether the sum of two equals the third.
$AB=\sqrt{9+9}=3\sqrt2$, $BC=\sqrt{9+9}=3\sqrt2$, $AC=\sqrt{36+36}=6\sqrt2$. [1.0 Mark]
Since $AB+BC=3\sqrt2+3\sqrt2=6\sqrt2=AC$, the three points are collinear. [1.0 Mark]
Correct Answer:
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.