Find the equation of the director circle of a circle x2+y2=100
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Solution
The given circle is x2+y2=100 .... (i) Comparing with x2+y2=a2, we get a2=100 .... (ii) The equation of the director circle of circle (i) is x2+y2=2a2 ⇒x2+y2=2(100) ....[From (ii)] ⇒x2+y2=200.