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Let P(x1,y1) and Q(x2,y2) be two fixed ...

Let `P(x_1,y_1) and Q(x_2,y_2)` be two fixed points in xy-plane and `R(h,k)` is such that `PR : QR = lambda:1 (lambda != 1)`.If locus of R for different values of `lambda` be curves `s_1,s_2,s_3,...............` then the number of common tangents to `s_i and s_j (i != j)` may be-

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