The point $A\left( 1,0 \right)$ lies on the circle ${{x}^{2}}+{{y}^{2}}+kx+6y+9=0$, where $k$

Question

The point $A\left( 1,0 \right)$ lies on the circle ${{x}^{2}}+{{y}^{2}}+kx+6y+9=0$, where $k$ is a constant. Find the value of $k$. the centre and radius of the circle. the coordinates of $B$ where $AB$ is the diameter of the circle.

Accepted Answer

(a) $k=-10$ (b) Centre $(5,-3)$, radius $5$ (c) $B=(9,-6)$

Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

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