Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each
Channel: Doubtnut
Date: 2020-05-24

Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each other, if `(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`.