题目
Problem
The coordinates of the points and are and respectively. The line segment forms a diameter of a circle.
(a) Find the equation of the circle.
[4]
(b) Find the equation of the tangent to the circle at the point .
[3]
(c) The other point on the circle with -coordinate 7 is .
Find the coordinates of the point of intersection of the tangent at with the tangent at .
[4]
题目中文翻译
点 和 的坐标分别为 和 。线段 是一个圆的直径。
(a) 求该圆的方程。
(b) 求该圆在点 处的切线方程。
(c) 圆上另一个 坐标为 7 的点为 。
求点 处切线与点 处切线的交点坐标。