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Two arcs of lengths $a \; \text{cm}$ and $b \; \text{cm}$ subtend angles $60^{\circ}$ and $90^{\circ}$ at the centre of a circle respectively. The relation between $a$ and $b$ is :

1. $b = \sqrt{2a}$
2. $3b = 2a$
3. $3a = 2b$
4. $a = \sqrt{2b}$

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