The diagram show a locus P(x, y) which moves such that its distance from point M (0.h) is always equal. Given the equation of the locus of P is x2 + y2 – 10y = 0. Find the value of h.
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Let the point be given by (h,k)
According to the given condition, 4∣k∣=h
2
+k
2
Replacing h by x and k by y, we get the required locus as x
2
+y
2
−4∣y∣=0
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