<p>A circle \(C_1\) passes through \(A(-1, -3)\). Its centre, \(B\), lies on the line \(4y + 3x = 10\). \(AB\) is perpendicular to \(4y + 3x = 10\).</p>
<ol class="abc-list"><li data-list-item-id="item-a" data-list-item-path="item-a"><div class="list-item-paragraph">Find the equation of the circle.<span class="inline-marks">[5]</span></div></li><li data-list-item-id="item-b" data-list-item-path="item-b"><div class="list-item-paragraph">A second circle \(C_2\) has centre at \(A(-1, -3)\). The line \(y = 0\) is a tangent to circle \(C_2\). Find the equation of the circle in the form of \(x^2 + y^2 + px + qy + r = 0\), where&nbsp;\(p\), \(q\) and \(r\) are integers.<span class="inline-marks">[2]</span></div></li></ol>

A circle \(C_1\) passes through \(A(-1, -3)\). Its centre, \(B\), lies on the line \(4y + 3x = 10\). \(AB\) is perpendicular to \(4y + 3x = 10\).

A second circle \(C_2\) has centre at \(A(-1, -3)\). The line \(y = 0\) is a tangent to circle \(C_2\). Find the equation of the circle in the form of \(x^2 + y^2 + px + qy + r = 0\), where \(p\), \(q\) and \(r\) are integers.

Further Coordinate Geometry

Further Coordinate Geometry