Distance From The Two Camps

A point moves such that the sum of the squares of its distances from the two sides of length a of a rectangle is twice the sum of the squares of its distances from the other two sides of length b.The locus of the point can be:

Two cars started simultaneously towards each other from town A and B that are 480 km apart. It took the first car travelling from A to B 8 hours to cover the distance and the second car travelling from B to A 12 hours. Determine at what distance from A the two cars meet?

Distance OF point from the line || Distance between two parallel lines || Distance between two skew line || Illustration on cross product