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Tangents are drawn to the circle x^(2) +...

Tangents are drawn to the circle `x^(2) + y^(2) = 12` at the points where it is met by the circle `x^(2) + y^(2) - 5x + 3y -2 = 0`, find the point of intersection of these tangents.

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To solve the problem step by step, we need to find the point of intersection of the tangents drawn to the circle \(x^2 + y^2 = 12\) at the points where it is met by the circle \(x^2 + y^2 - 5x + 3y - 2 = 0\). ### Step 1: Identify the equations of the circles The first circle is given by: \[ x^2 + y^2 = 12 \] The second circle can be rewritten in standard form. We complete the square for the \(x\) and \(y\) terms: ...
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