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The equation of the circle which has a t...

The equation of the circle which has a tangent `2x-y-1=0` at (3, 5) on it and with the centre on `x+y=5`, is

A

`x^(2) +y^(2) + 6x -16y + 28 =0`

B

`x^(2) +y^(2) - 6x + 16y - 28 =0`

C

` x^(2) +y^(2) +6x + 6y -28 =0`

D

`x^(2)+ y^(2) - 6x - 6y - 28 =0`

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The correct Answer is:
A
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