x‌intercept ‌‌=0 y‌intercept ‌‌=2 Centre lies ony=x+1 Let equation of circle x2+y2+2gx+2fy+c=0 Centre(−g,−f)⇒−f=−g+1 ‌f=g−1‌‌‌⋅⋅⋅⋅⋅⋅⋅(i) ‌x‌intercept ‌‌‌=2√g2−c=0 ‌⇒‌‌g2=c ‌y‌intercept ‌=2√f2−c=2 ‌⇒‌‌f2−c=1 ‌f2−g2=1 ‌(f−g)(f+g)=1 ‌‌‌f+g=−1‌‌[∵f−g=−1] ‌∴f=−1,‌‌g=0 ∴ Centre is(0,1). Which satisfies x2+y2−26x−20y+19=0
