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 mid-point of PQ.

 

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

 the mid-point of AC. Find

 (a) the coordinates of point C,

 (b) the equation of line AC.

 

 The line intersects the x-axis and y-axis at the points A and B

 respectively. Find

 (a) the coordinates of M, the mid-point of line AB,

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

 (c) the area of .