1. 
Given that P(1,2) and Q(4,5) are points on the Cartesian plane, find


(a) the length of PQ, 

(b) the coordinates of R, the midpoint of PQ. 

2.  A straight line passes through three points A(1,1), B(3,4) and C, where point B is 

the midpoint of AC. Find 

(a) the coordinates of point C, 

(b) the equation of line AC. 

3.  The line intersects
the xaxis and yaxis at the points A and B 

respectively. Find 

(a) the coordinates of M, the midpoint
of line AB, 

(b) the equation of the line OM, where O is the origin, 

(c) the area of . 
