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Consider a circles S with centre at the ...

Consider a circles S with centre at the origin and radius 4. Four circles A, B, C and D each with radius unity and centres `(-3, 0), (-1,0), (1,0)` and `(3, 0)` respectively are drawn. A chord PQ of the circle S and passes through the centre of the circle C. If the length of this chord can be expressed as `sqrtx` , find x.

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