Statement 1 : The equation of chord through the point $\left(-2,4\right)$ which is farthest from the center of the circle $x^2+y^2-6x+10y-9=0$ is $x+y-2=0$ . Statement 1 : In notations, the equation of such chord of the circle $S=0$ bisected at $\left(x_1,y_1\right)$ must be $T=S\dot{}$

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