Length of tangent from the point \( \Large \left(x_{1},y_{1}\right) \) to the circle \( \Large x^{2} + y^{2} +2gx + 2fy + c = 0 \) is
\( \Large \sqrt{x_{1}^{2} +y_{1}^{2} + 2gx_{1} + 2fy_{1} + c } \) Required length of tangent from the point (3,-4) to the circle \( \Large x^{2} + y^{2} -4x -6y + 3 = 0 \)
\( \Large \sqrt{3^{2} + 4^{2} + -4(3) - 6(-4) + 3} = \sqrt{40}\) Square of the length of tangenet is 40
