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 =



(iv) (a, 0) and (0, b)


Distance =


Distance =


Distance =
Thus, the distance between points (a, 0) and (0, b) is 

1