Find the distance between the following pair of points:
(i) (-6,7) and (-1, -5)
(ii) (a + b, b + c) and (a - b, c - b)
(iii) (a sin a, - b cos a) and (-a cos a, b sin a)
(iv) (a, 0) and (0, b)
(i) (-6,7) and (-1, -5)
Distance =
Distance =
Distance =
Distance =
Distance =
= 13 units
Thus, the distance between the points (-6,7) and (-1, -5) is 13 units
(ii) (a + b, b + c) and (a - b, c - b)
Distance =
Distance =
Distance =
Distance =
Distance =
= 
units
Thus, the distance between these points is (a + b, b + c) and (a - b, c - b) is units.
(iii) (a sin a, - b cos a) and (-a cos a, b sin a)
Distance =
Distance =
Distance =
Distance =
Thus, the distance between points (a, 0) and (0, b) is
1