1. Calculate the distance between the points P(2, 2), Q(5, 4) correct to three significant figures. (Do not consult tables).
2. A is a point on the y-axis whose ordinate is 5 and B is the point (-3, 1). Calculate the length of AB.
3. The distance between A(1, 3) and B(x, 7) is 5. Find the possible values of x.
4. P and Q have co-ordinates (-1, 2) and (6, 3) respectively. Reflect P in the x-axis to P'. Find the length
of the segment P'Q.
5. Point A(2, -4) is reflected in the origin as A'. Point B(-3, 2) is reflected in x-axis at B'. Write the co-ordinates of A' and B'. Calculate the distance A'B' correct to one decimal place.
6. The center of a circle of radius 13 units is the point (3, 6). P(7, 9) is a point inside the circle. APB is a chord of the circle such that AP = PB. Calculate the length of AB.
7. A and B have co-ordinates (4, 3) and (0, 1) respectively. Find (i) the image A' of A under reflection in the y-axis.
(ii) the image B' of B under reflection in the line AA'.
(iii) the length of A'B'.
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