Tangent Circles:- Circles that intersect each other are called as tangentcircles. Geometry constructions are related to these tangent circles. Lets us solve some problem related to tangent circle radius.
Find the equation of the tangent at (-2, 3) to the circle x2 + y 2 – 13 = 0.
Soln: (x1, y1) = (-2, 3).
The tangent is x (-2) + y (3) – 13 = 0
" style="vertical-align: middle;" src="http://www.tutorvista.com/js/jsMath/wysiwyg_asciimath/mimetex/mimetex.cgi?%5Cdisplaystyle%5CRightarrow"> - 2x + 3y – 13 = 0
" style="vertical-align: middle;" src="http://www.tutorvista.com/js/jsMath/wysiwyg_asciimath/mimetex/mimetex.cgi?%5Cdisplaystyle%5CRightarrow"> 3y = 2x + 13.
There are two types of tangent circles called internal tangent circle and external tangent circle.
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