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Statement 1 : The locus of the center of...

Statement 1 : The locus of the center of a variable circle touching two circle `(x-1)^2+(y-2)^2=25` and `(x-2)^2+(y-1)^2=16` is an ellipse. Statement 2 : If a circle `S_2=0` lies completely inside the circle `S_1=0` , then the locus of the center of a variable circle `S=0` that touches both the circles is an ellipse.

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Statement 1: The locus of the center of a variable circle touching two circle (x-1)^(2)+(y-2)^(2)=25 and (x-2)^(2)+(y-1)^(2)=16 and (x-2)^(2)+(y-1)^(2)=16 is an ellipse. statement 2: If a circle S_(2)=0 lies completely center of a variable circlipse. both the circles is an ellipse.

Two circles are given such that they neither intersect nor touch.Then identify the locus of the center of variable circle which touches both the circles externally.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

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