ASSIGNMENT 1·2
There are two parts to this assignment. The first part is on WeBWorK — the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full solutions
with complete arguments and justifications. You will be graded on the correctness, clarity and elegance of
your solutions. Your answers must be typeset or very neatly written. They must be stapled, with your name
and student number at the top of each page.
1. Sketch and find the equation of the line parallel to 2y + x − 3 = 0 which passes through the point (2, 3).
2. Prove that the largest rectangle which can be inscribed inside a circle of radius r is a square. (It is possible
to prove this using only basic geometry.) Then find the area of the square.
3. There are exactly two circles of radius
circles.
√
5 through the points (6, 3) and (7, 2). Find the equations of both