If $P,Q,R$ are $\left(6,-1\right),\,\left(1,3\right),\,\left(x,8\right)$ respectively, then find the value of $x$ so that $PQ=QR$

The length of a line segment is 13 units and the coordinates of one end point are (-6,7). If the ordinate of the other end points is -1, find the abscissa of the other end point.

The line $( k + 1 ) ^ { 2 } x + k y - 2 k ^ { 2 } - 2 = 0$ passes through a fixed point. Distance of this point (-2, -1) is-

Find the point on the y-axis which is equidistant from the points $(5,-2)$ and $(-3,2)$