Engineering
Mathematics
A Circle
Locus of a Point
Question
The centres of those circles which touch the circle, x2 + y2 – 8x – 8y – 4 = 0, externally and also touch the x‑axis, lie on
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Solution
Clearly, locus will be a parabola as P moves such that it is always at equal distance from a fixed point (4, 4) & fixed line y = – 6.