The condition that the circles `x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0` |Class 12 MATH | Doubtnut

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The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0 may touch each other is ... The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0 may touch each other is ...
Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches the (i)X- axis if g^(2) = c ... Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches the (i)X- axis if g^(2) = c ...
Equation of the circle Equation of the circle
Prove that the two circles x^2+y^2+2ax+c^2=0 and x^2+y^2+2by +c^2=0 touch if 1/a^2+1/b^2=1/c^2 Prove that the two circles x^2+y^2+2ax+c^2=0 and x^2+y^2+2by +c^2=0 touch if 1/a^2+1/b^2=1/c^2
If the circles, `x^2 +y^2 + 2ax + 2by + c =0 and x^2 +y^2 + 2bx + 2ay + c = 0` where `c lt 0 If the circles, `x^2 +y^2 + 2ax + 2by + c =0 and x^2 +y^2 + 2bx + 2ay + c = 0` where `c lt 0
Let x^2+y^2+Ax+By+C=0 be a circle passing through(0,6)& touching parabola y=x^2at(2,4)then A+C is= Let x^2+y^2+Ax+By+C=0 be a circle passing through(0,6)& touching parabola y=x^2at(2,4)then A+C is=
Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each
If y-axis touches the cirle. x^(2) + y^(2) + gx + fy +c/4 = 0 then the normal at this point inte... If y-axis touches the cirle. x^(2) + y^(2) + gx + fy +c/4 = 0 then the normal at this point inte...