Question:medium

If the circle \( x^2 + y^2 + 2gx + 2fy + c = 0 \) is touched by \( y = x \) at \( P \) such that \( OP = 6\sqrt{2} \), then the value of \( c \) is

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For a circle tangent to a line, use the distance from the center of the circle to the line to find the radius and solve for unknowns in the equation.

Updated On: Apr 22, 2026

36
72
144
None of these

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The Correct Option is B

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