Q1 of 101 Page 24

Find the coordinates of the centre radius of each of the following circle:

x2 + y2 – ax – by = 0

Given:


equation of the circle is x2 + y2 - ax - by = 0 .... (1)



We know that for a circle


x2 + y2 + 2ax + 2by + c = 0 .... (2)


⇒ Centre = (- a, - b)


⇒ Radius =


Comparing (1) with (2) we get,


⇒ Centre =


⇒ Centre =


⇒ Radius =


⇒ Radius =


⇒ Radius =


⇒ Radius =


∴ The centre and radius of the circle is and .


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