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If the circle x ^(2) +y^(2) -4rx- 2ry+4r...

If the circle `x ^(2) +y^(2) -4rx- 2ry+4r^(2)=0` and `x^(2) +y^(2) =25` touch each other, then r satisfies-

A

`4r^(2) +10r pm 25 =0`

B

`5r^(2) +10r pm 16=0`

C

`4r^(2) pm 10r + 25=0`

D

`4r^(2) pm 10r -25=0`

Text Solution

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The correct Answer is:
D
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