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Consider the circles C1 : x^2 + y^2 - 4x...

Consider the circles `C_1 : x^2 + y^2 - 4x + 6y + 8 = 0; C_2 : x^2 + y^2-10x - 6y + 14 = 0` Which of the following statement(s) hold good in respect of `C_1 and C_2?`

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Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

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