If the point ( a , b ) is equidistant from (3, –4) and (8, –5), show that 5 a - b - 32 = 0 .
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since point (a,b) is equidistant from(3,-4) and (8,-5) hence (a,b) is the mid point
so,
a = (3+8)/2 , b = {-4 + (-5)}/2
a = 11/2 , b = -9/2
5a = 55/2 , -b = 9/2
5a - b -32 = 55/2 + 9/2 - 32 = 64/2 - 32 = 0 prove
so,
a = (3+8)/2 , b = {-4 + (-5)}/2
a = 11/2 , b = -9/2
5a = 55/2 , -b = 9/2
5a - b -32 = 55/2 + 9/2 - 32 = 64/2 - 32 = 0 prove
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