The equation of the circle that touches y-axis at \( (0, 4) \) and whose center lies on the line \( 5x - 7y - 2 = 0 \) is:

A \( x^2 + y^2 - 6x - 6y + 18 = 0 \)

B \( x^2 + y^2 - 12x - 8y + 16 = 0 \)

C \( x^2 + y^2 - 7x - 2y + 24 = 0 \)

D None

Solution

Correct Answer: Option D

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