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The circle equation is $\"\"$ .

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Rewrite the equation as $\"\"$ .

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Compare it with circle equation is $\"\"$ .

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$\"\"$ .

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Tangent point is $\"\"$ .

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Observe above problem 52:

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If the equation of the circle $\"\"$ and the equation of the tangent line is $\"\"$ , then

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the point of tangency is $\"\"$ .

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Equate the tangent points and solve the values for $\"\"$ , $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in above expressions.

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$\"\"$

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$\"\"$

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$\"\"$ and $\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find the tangent line equation.

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substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Multiply each side by $\"\"$ .

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$\"\"$

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$\"\"$

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Tangent line equation is $\"\"$ .

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$\"\"$

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Tangent line equation is $\"\"$ .