This document discusses finding the intersection points between a line and parabola by solving simultaneous equations, finding the value of k that makes a line tangent to a parabola, and finding the maximum area of a rectangle with a perimeter of 28 cm.

1. Intersections of graphs and
simultaneous equations
Find the coordinates of the points of intersection
between the line y = 2 x ­ 1 and the parabola
y = x2
­ 3x + 5

2. Find the value of k for which the line with
equation y = x ­ k is tangent to the parabola
y = x2
Solve Ex 1E page 23

3. Solve Ex 1E page 23

4. Problems
Find the maximum area of a rectangle of
perimeter 28 cm.