If the tangents are drawn to the circle `x^2+y^2=12` at the point where it meets the circle `x^2+y^2-5x+3y-2=0,` then find the point of intersection of these tangents.

Explanation

To solve the problem, 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 intersects with the second circle given by the equation \(x^2 + y^2 - 5x + 3y - 2 = 0\).

### Step 1: Write the equations of the circles
The first circle is given by:
\[ x^2 + y^2 = 12 \quad \text{(Equation 1)} \]

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