1. two circles. x^2+y^2-16x-8y+35=0 and x^2+y^2=5 are given.

a. write the equations in the standard form.
b.prove that the circles touch each other.
c.hence calculate the equation of their common tangent

2. find the equation of a. circle. with centre c(2;3) and which I is the tangent to the x-axis
b. find the equation of the circle which. is tangent to the x-axis at (3;0) and which passes through (1;2)

1 answer

X2+y2-16x-8y+35=0
x2-16x+y2-8y=-35
x2-16x+8^2+y2-8y+4^2=-35
(x-8)^2+(y-4)^2=35
(8;4)=5/7
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