If a point `A(0,\ 2)` is equidistant from the points `B(3,\ p)` and `C(p ,\ 5)` , then find the value of `p` .

If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p.

If the point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p ,\ 5) , find p . Also, find the length of A B .

If the point P(k-1,\ 2) is equidistant from the points A(3,\ k) and B(k ,\ 5) , find the values of k .

If the point A(0,2) is equidistant from the points B(3,p) and C(p,5), find p. Also,find the length of AB.

If the point P(k-1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k.

If the point P(k-1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k.

If the point P(k-1, 2) is equidistant from the point A(3, k) and B(k, 5), find the values of k.

If the point P(k-1,2) is equidistant from the points A(3,k) and B(k,5), find the values of k

If the point P(x ,\ y) is equidistant from the points A(5,\ 1) and B(1,\ 5) , prove that x=y .

A point P (2, -1) is equidistant from the points (a,7) and (-3,a). Find a.