Find the equation of a circle passing through the origin and intercepting lengths a and b on the axes.
Find the equation of a circle passing through the origin and intercepting lengths a and b on the axes.

Answer:

 

 

 

 

 

AD = b units and AE = a units.

D(0, b), E(a, 0) and A(0, 0) lies on the circle. C is the centre.

The general equation of a circle:

(x – h)2 + (y – k)2 = r2 …(i)

(h, k) is the centre and r is the radius.

Putting A(0, 0) in (i)

(0 – h)2 + (0 – k)2 = r2

 

The required equation is,