tangents on Complex no.

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\hspace{-16}$The Complex no. Corrosponding to the point of Intersection of\\\\ Tangents at $\mathbf{(4-\sqrt{5}.i)}$ and $\mathbf{(-\sqrt{5}.i)}$ on the Circle $\mathbf{\mid z-2\mid = 3}$ is

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Vivek @ Born this Way ·2012-03-12 03:31:48

Using Rotation theorem at C and A, We can easily find out the the co ordinates of C

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rishabh ·2012-03-12 04:42:26

circle is (x-2)² + y² = 9
tangent at point (x1,y1) is T=0
=>the tangents at given points are,
2x+âˆš5y +5=0 & 2x - âˆš5 y -13 = 0

solving we get the point 4-(9âˆš5) i

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tangents on Complex no.

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