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Consider circles C(1): x^(2) +y^(2) +2...

Consider circles
`C_(1): x^(2) +y^(2) +2x - 2y +p = 0`
`C_(2): x^(2) +y^(2) - 2x +2y - p = 0`
`C_(3): x^(2) +y^(2) = p^(2)`
Statement-I: If the circle `C_(3)` intersects `C_(1)` orthogonally then `C_(2)` does not represent a circle
Statement-II: If the circle `C_(3)` intersects `C_(2)` orthogonally then `C_(2)` and `C_(3)` have equal radii Then which of the following is true?

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