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Q.

A carrom board (60 cm × 60 cm) has the queen at the centre. When the queen is hit by the striker, it moves to the front edge, rebounds and goes into the hole behind the striking line. The displacement of the queen is

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a

$20 \sqrt{2} cm$

b

$30 \sqrt{2} cm$

c

30 cm

d

20 cm

answer is D.

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Detailed Solution

Let ‘S’ be the displacement from the triangle OAB

Question Image

$\begin{array}{l} S^{2} = {AB}^{2} + {OA}^{2} \\ S^{2} = 30^{2} + 30^{2} \\ S^{2} = 230^{2} \\ S = 30 \sqrt{2} cm \end{array}$

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A carrom board (60 cm × 60 cm) has the queen at the centre. When the queen is hit by the striker, it moves to the front edge, rebounds and goes into the hole behind the striking line. The displacement of the queen is