If x = 9 is a chord of contact of the hyperbo | vedclass

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(B) The equation of the chord of contact from a point $(h, k)$ to the hyperbola $x^2 - y^2 = 9$ is given by $xh - yk = 9$.Comparing this with the give

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$9x^2 - 8y^2 - 18x + 9 = 0$

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(B) The equation of the chord of contact from a point $(h, k)$ to the hyperbola $x^2 - y^2 = 9$ is given by $xh - yk = 9$.Comparing this with the given chord $x = 9$,we get $h = 1$ and $k = 0$.Thus,the point of intersection of the tangents is $(1, 0)$.The equation of the pair of tangents from $(h, k)$ to the hyperbola $S = 0$ is given by $SS_1 = T^2$.Here,$S = x^2 - y^2 - 9$,$S_1 = 1^2 - 0^2 - 9 = -8$,and $T = x(1) - y(0) - 9 = x - 9$.Substituting these values,we get $(x^2 - y^2 - 9)(-8) = (x - 9)^2$.$-8x^2 + 8y^2 + 72 = x^2 - 18x + 81$.Rearranging the terms,we get $9x^2 - 8y^2 - 18x + 9 = 0$.

If $x = 9$ is a chord of contact of the hyperbola $x^2 - y^2 = 9$,then the equation of the corresponding pair of tangents is...

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