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Relation between Coordinates of Vertices

The distance ...

Question

The distance and displacement respectively covered by a man on reaching point $C$ from point $A$ as shown in the figure is

5 m, 7 m

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7 m, 5 m

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3 m, 4 m

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4 m, 3 m

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Solution

The correct option is B $7 m, 5 m$
Total distance covered by the man is the total path length
$\Rightarrow A B + B C = 4 + 3 = 7 m$
And, total displacement of the man is
$A C = \sqrt{A B^{2} + B C^{2}} = \sqrt{4^{2} + 3^{2}} = 5 m$

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