A point P lies inside the circles x2+y2−4=0 and x2+y2−8x+7=0. The point P starts moving under the conditions that its path encloses greatest possible area and it is at a fixed distance from any arbitrarily chosen fixed point in its region. The locus of P is

A point P lies inside the circles x2+y2−4=0 and x2+y2−8x+7=0. The

1.	A point P lies inside the circles x2+y2−4=0 and x2+y2−8x+7=0. The point P starts moving under the conditions that its path encloses greatest possible area and it is at a fixed distance from any arbitrarily chosen fixed point in its region. The locus of P is
Answer» A point P lies inside the circles $x^{2} + y^{2} - 4 = 0$ and $x^{2} + y^{2} - 8 x + 7 = 0$ . The point P starts moving under the conditions that its path encloses greatest possible area and it is at a fixed distance from any arbitrarily chosen fixed point in its region. The locus of P is