B) An equilateral triangle has one vertex at the origin, another on the x-a the quadrant. Find the slopes of each side
c) The line PQ has equation 3x – 2y = 12. With coordinates P(6,3) and Q(-2,1)
i) Find the value of k.
ii) Find an equation of the line through P that is perpendicular to PQ.
iii) The point R has coordinates (2,-5). Find the exact length of PR.
[3+2 +5= 10 marks]
Q2.
a) A and B are two given point whose co-ordinates are (-5, 3) and (2, 4) respectively. A
point P moves in such a manner that PA: PB = 3:2. Find the equation to the locus
traced out by P. what curve does it represent?
b) The points P(-1,-1) and Q(2, ) lie on the graph of y
Sketch the graph of y = 2f(- 1) +2.
Mark the images of the points pand Q, stating their coordinates and write down the
equations of any asymptotes
[5+8 = 13 marks]
3.
The function f is defined by f: x + x2 + 2x – 1 for OSX S2​