Find the equation of the circle passing through the point ( 13, 6) and touching externally the two circles x2 - Maths - Conic Sections

Question

Find the equation of the circle passing through the point (
13, 6) and touching externally the two circles x2 +y2 = 25 and x 2
+ y 2 - 25x + 150 =0 ?

Neha Sethi · Accepted Answer

Dear student

Now solving 7,8 and 9, we geth=8k=6a=5Now putting these values in 3, we getx-82+y-62=52⇒x2+64-16x+y2+36-12y=25⇒x2+y2-16x-12y+75=0 Regards

Find the equation of the circle passing through the point ( 13, 6) and touching externally the two circles x2 +y2 = 25 and x 2 + y 2 - 25x + 150 =0 ?