The point $A(2, 1)$ lies on the circle $x^2 + y^2 + kx + 4y + 7 = 0$, where $k$ is a cons

Question

The point $A(2, 1)$ lies on the circle $x^2 + y^2 + kx + 4y + 7 = 0$, 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) $k=-8$. (b) Centre $(4,-2)$, radius $\sqrt{13}$. (c) $(6,-5)$.

Coordinate Geometry - Finding the Centre and Radius of a Circle

Coordinate Geometry - Finding the Centre and Radius of a Circle

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