Two circles have the equations x^2+y^2+l...

Two circles have the equations` x^2+y^2+lambdax+c=0 and x^2+y^2+mux+c=0`. Prove that one of the circles will be within the other if `lambdamugt0 and cgt0`.

Similar Questions

Explore conceptually related problems

x^(2) + y^(2) + 6x = 0 and x^(2) + y^(2) – 2x = 0 are two circles, then

If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies within the other , then :

If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within the other, then

If the circles x^2+y^2+2lambdax+2=0 and x^2+y^2+4y+2=0 touch each other, then lambda=

If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within the other, then :

The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have no common tangent if

If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 have equal radius then the locus of (lambda, mu) is

The circle represented by the equation x ^(2) + y^(2) + 2gx + 2fy + c=0 will be a point circle, if