∵△ABC is right angled triangle. ∴ Circumcentre will lie on Hypotenuse AC i.e. x+2y−4=0 at mid point. Equation of AB:x−2=0⋅⋅⋅⋅⋅⋅⋅(i) Equation of AC:x+2y−4=0⋅⋅⋅⋅⋅⋅⋅(ii) Equation of BC:y+1=0⋅⋅⋅⋅⋅⋅⋅(iii) . On solving Eqs. (i) and (ii) x=2,y=1 ∴A=(2,1) On solving Eqs. (ii) and (iii) y=−1,x=6 ∴C=(6,−1) ∴ Circumcentre will be mid-point of