Apps. and Interpretation for IBDP Maths Ebook 1 | Page 122

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. The equation of the perpendicular bisector of two points A and B is
where the coordinates of B are (12, � 6) .
4
y� � x� 35 ,
3
(a) (i) Write down the gradient of AB .
(b)
(ii)
Hence, find the equation of AB , giving the answer in slope-intercept
form.
Find the coordinates of the point of intersection of AB and the perpendicular
bisector of AB .
(c) Find the coordinates of A .
[3]
[3]
[2]
4. The equation of L , the perpendicular bisector of two points A and B , has the gradient
3
� , where the coordinates of A are (0, 20) .
4
(a) (i) Write down the gradient of AB .
(ii)
Hence, find the equation of AB , giving the answer in slope-intercept
form.
Let b be the x -coordinate of B , where b is a positive constant.
(b) Write down the y -coordinate of B in terms of b .
The point C(25, 20) lies on L .
[3]
[1]
(c) (i) Write down the length of AC .
(ii) Hence, find the value of b .
[3]
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