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The equation of the line that is a tangent to the circle \[ x^2+y^2-6x+4y+12=0 \] is

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To test whether a line is tangent to a circle: \[ \text{Distance from centre to line} = \text{Radius}. \] Compute the centre and radius first, then use the point-to-line distance formula.

Updated On: Jul 29, 2026

\[ x+3y+7=0 \]
\[ 12x+5y+11=0 \]
\[ 5x+12y-4=0 \]
\[ x-3y-7=0 \]

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The Correct Option is C

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The equation of the line that is a tangent to the circle \[ x^2+y^2-6x+4y+12=0 \] is

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The Correct Option is C

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