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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.

A

Statement I is true, statement II is true: statement II is a correct explanation for statement I

B

Statement I is true, statement II is true, statement II is not a correct explanation for statement I

C

statement I is true, statement II is false

D

statement I is false, statement II is true

Text Solution

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The correct Answer is:
C
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