A(a,0) and B(-a, 0) are two fixed points. Find the equation of the locus of a point P which moves so that AP2 - BP2 = r2
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There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
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