The locus of the centre of the cicle for which one end of a diamert is (1.) while the other end is one the line

Options

A. x+y=1
B. (x-y)=5
C. 2x +2y=5
D. None of these

Answer

C

Explanation

Left the centre of circle be (g.f). If one end of a diameter is (1,1), then the other end of a diameter is (2g-1,2f-1).`
` since, this endlies on the line x+y=3.`therefore 2g-1+2f-1).`
`rArr 2g +2f=5`
` so, the locus of centre is 2x +2y=5.