Question

22. The plane x/a+y/b+z/c=1
meets
the axes at A,B,C. Find the equation
of circumcircle of triangle ABC. Also find
its centre and radius​

Answer 1

$\huge\boxed{\fcolorbox{violet}{violet}{Answer}}$

The equation of the plane is

xA+yB+zC=1

By the definition of the centroid

(A3,B3,C3)=(a,b,c)

Therefore,

A=3a

B=3b

C=3c

The equation of the plane becomes

=>x3a+y3b+z3c=1

=>13(xa+yb+zc)=1

So,

xa+yb+zc=3