Coordinate Geometry - Tangents and Normals to Circles
Coordinate Geometry - Tangents and Normals to Circles
The equation of a circle, \(C\) is given by \({{x}^{2}}+{{y}^{2}}-4x+2y+1=0\).
- Find the coordinates of the centre, and radius of \(C\).
- Find the equation of the tangent that touches \(C\) at \(\left( 4,-1 \right)\).
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Answer:\(\text{(a) Centre}\hspace{0.5em}(2,-1),\ \text{radius}\hspace{0.5em}2\) \(\text{(b)}\hspace{0.5em}x=4\)
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