题目
Problem
The points and lie at the opposite ends of a diameter of a circle.
(a) Find the equation of the circle.
[3]
(b) There are two tangents to the circle which have gradient .
Find the exact values of the -coordinates of the points at which these tangents touch the circle.
[5]
题目中文翻译
点 和 分别位于一个圆的直径的两端。
(a) 求这个圆的方程。
(b) 这个圆有两条斜率为 的切线。
求这些切线与圆相切的点的 坐标的精确值。