Question

find the value of k ,if the points p (0,2) is equidistant from the points a (3,k)and b (k,5)

Answer 1

by using distance formula,
let A(0,2) ,B(3,k)and C(k,5).
given that:
AB=AC
√{(0-3)²+(2-k)²}=√{(0-k)²+ (2-5)²}
9+4+k²-4k=k²+9
4k=4
k=1
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