Q) If Q(0,1) is equidistant from P(5,-3) and R (x,6), find the values of x.
Ans:
since the Point Q is equidistant, then
Distance between P & Q = Distance between R & Q
(5-0) 2 + (-3-1) 2 = (x-0)2 + (6-1)2
or 25 +16 = x2 + 25
or x2 = 16
or x = 4, x = -4
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(5-0) 2 + (-3-1) 2 = (x-0)2 + (6-1)2