Q4 of 58 Page 83

Find the value of a, if the distance between the points A( - 3, - 14) and B(a, - 5) is 9 units.

According to the question,

Distance between AB = 9


Coordinates of A ( - 3, - 14)


Coordinates of B (a, - 5)


Distance between two points (x1, y1) and (x2, y2);


d =



So,


AB = = 9


AB = = 9


On squaring both the sides,


We get;


(a + 3)2 + 81 = 81


(a + 3)2 = 0


A = - 3


Hence, the value of a is - 3.


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