<p>The equation of a circle, $C$ is given by ${{x}^{2}}+{{y}^{2}}-4x+2y+1=0$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the coordinates of the centre, and radius of $C$.</div></li><li><div class="list-item-paragraph">Find the equation of the tangent that touches $C$ at $\left( 4,-1 \right)$.</div></li></ol>

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 $\left( 4,-1 \right)$.

Coordinate Geometry

Question 5209be86

Video Solution: