Q7 of 53 Page 107

Find x if distance between points L(x, 7) and M(1, 15) is 10.

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
 .....(1)


Distance between LM = = 10


Squaring both sides, we get


(x-1)2 + 64 = 100


(x-1)2 = 36


x-1 = ±6


Hence x = 7 or -5


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