Q. 1

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

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