Engineering
Mathematics
A Circle
Question
A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is
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Solution
h2 + (k – 2b)2 = k2 + 4a2
⇒ x2 = 4by + 4a2 – 4b2
locus is a parabola