The locus of the centre of the circle which makes equal intercepts on the lines x + y = 1 and x + y = 5 is

Step-by-step solution

Let center be h , k Since it makes equal intercepts on the two given lines Hence, the center is equidistant from both the lines i.e. h + k - 1 2 = h + k - 5 2 ⇒ h + k = 3