The equation of the circle which touches the circle
externally and having the lines
as two normals, is
Text Solution
Verified by ExpertsC
Given that equation of normals

So, equation of normals is
and
.
Since, two normal of circle intersect at centre.
On solving
and
, we get
Centre
Now, equation of given circle

Centre (3, -3 ) and radius

Given that, circles touches externally, so sum of radius
distance between centres
and
.

Equation of circle with centre
and radius 3 units is

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