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[" ILLUSTRATION 16Let a and brespectivel...

[" ILLUSTRATION 16Let a and brespectively be the semit-ransures "],[" and semi-conjugate axes of a hyperbola whose eccentricity esatisfies "],[" the equation "9e^(2)-18e+5=0.1fS(5,0)" is a focus and "5x=9" isthe "],[" corresponding directrix of hyperbola,then "a^(2)-b^(2)" is equal to "]

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Let a and b respectively be the semi- transverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e^(2)-18e+5=0. If S(5,0) is a focus and 5x=9 is the corresponding directrix of this hyperbola,then a^(2)-b^(2) is equal to

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