Apps. and Interpretation for IBDP Maths Ebook 1 | Page 121

Exercise 33
1. Consider the points A(0, 6) and B(0, 24) .
(a) Find the coordinates of C , the mid-point of AB .
(b) Write down the gradient of the straight line perpendicular to AB .
(c) Write down the equation of the perpendicular bisector of AB .
(d)
State the geometric relationship between A , B and D , where D is a point on
the perpendicular bisector of AB .
2. Consider the straight line x�2y� 100 , with the x -intercept and the y -intercept at A
and B respectively.
(a) (i) Write down the coordinates of A .
[2]
[1]
[1]
[1]
(ii) Write down the coordinates of B .
(iii) Hence, find the coordinates of C , the mid-point of AB .
The gradient of AB is � 0.5 .
[4]
(b) Write down the gradient of the straight line perpendicular to AB .
(c)
Find the equation of the perpendicular bisector of AB , giving the answer in
slope-intercept form.
[1]
[2]
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