The radius of circle having maximum size passing through (2,4) and touching both the coordinate axes is- Answer is 10 please explain

The general equation of circle is (x-h)2 + (y-k)= R

 Here (h ,k ) are centre of the circle

 But as the circle is touching both axes , so h = k = R

And the circle is passing through (2 ,4 )

Hence we have (2 - h)2 + (4-h)2 = h2

h2 -12h +20 = 0

Or (h-10)(h-2) = 0

But we have to consider the larger radius , so h = r = 10 is the required radius.

  • 1
What are you looking for?