2.9: Midpoint, perpendicular gradient and angle

0606/22/M/J/16 — Question 5 · 7 marks

The coordinates of three points are A(−2,6)A(-2, 6), B(6,10)B(6, 10) and C(p,0)C(p, 0).
(i)
Find the coordinates of MM, the mid-point of ABAB.
[2]
(ii)
Given that CMCM is perpendicular to ABAB, find the value of the constant pp.
[2]
(iii)
Find angle MCBMCB.
[3]