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Find the value of k , if the point P (2,...

Find the value of `k` , if the point P (2,4) is equidistant from the points `A(5, k)` and `B(k ,7)dot`

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Point `P(2, 4)` is equidistant from the points `A(5, K) and B(K, 7). `
So `PA = PB `
`⇒ (PA)^2 =( PB)^2 `
`⇒ (5 – 2)^2 + (k – 4)^2 = (k – 2)^2 + (7 – 4)^2`
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