question_answer

Axis of a parabola is y = x and vertex and focus are at a distance \[2\sqrt{2}\]and \[5\sqrt{2}\]respectively from the origin. Then equation of the parabola is:

A)  \[{{(x-y)}^{2}}=24\,(x+y-4)\]

B)  \[{{(x+y)}^{2}}=6\,(x+y-4)\]

C)  \[{{(x-y)}^{2}}=12\,(x+y-4)\]

D)  \[{{(x+y)}^{2}}=24\,(x-y+4)\]

E)  None of these