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Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10

Question:

The distance between $(1,1)$ and $(4,4)$, expressed in simplest surd form, is:

$3$
$3\sqrt2$
$4\sqrt2$
$\sqrt{18}$

Step-by-Step Solution

Key Concept: Apply the distance formula and simplify the surd.
$d=\sqrt{(4-1)^2+(4-1)^2}=\sqrt{9+9}=\sqrt{18}=3\sqrt2$. [1.0 Mark]

Correct Answer: $3\sqrt2$
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