Question

Equations of circle touching both the axes and the line x=a

Answer 1

A circle is the locus of all points which keep the same distance from a point called centre.

Here we have to determine the equation of a circle which touch both x and y axes and also x=a line.

The line x=a is a vertical line parallel to y axis.

Hence the circle lies in between x=0 and x=a touching both the lines.

Or in other words the diameter of the circle = a and hence centre would be at a distance of a/2 from x axis and a/2 from y axis.

The coordinates of the centre = (a/2, a/2)

The equation of the circle would be

$(x-a/2)^(y-a/2)^2 = a^2/4$

Answer 2

Answer:

x square + Y square -cx-cy- c square/4=0