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A circle with centre P$(4, 5)$ passes through the point A$(0, 9)$. The length of the diagonal of the largest square inside this circle is :
- (a)$4\sqrt{2}$ units
- (b)$8\sqrt{2}$ units
- (c)$\sqrt{53}$ units
- (d)$2\sqrt{53}$ units
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(B) $8\sqrt{2}$ units