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  • If is the chord of contact of the hyperbola <img alt="\mathrm{x^{2}-y^{2}=9}" src="https://entr

If \mathrm{x=9} is the chord of contact of the hyperbola \mathrm{x^{2}-y^{2}=9}, then the equation of the corresponding pair of tangents is

Option: 1

\mathrm{9 x^{2}-8 y^{2}+18 x-9=0}


Option: 2

\mathrm{9 x^{2}-8 y^{2}-18 x+9=0}


Option: 3

\mathrm{9 x^{2}-8 y^{2}-18 x-9=0}


Option: 4

\mathrm{9 x^{2}-8 y^{2}+18 x+9=0}


Answers (1)

best_answer

\mathrm{x}=9 meets the hyperbola at (9,6 \sqrt{2}) and (9,-6 \sqrt{2})
.
The equation of tangents at these points are \mathrm{3 x-2 \sqrt{2} y-3=0}

and \mathrm{3 x+2 \sqrt{2} y-3=0}

The combined equation of these two is \mathrm{9 x^{2}-8 y^{2}-18 x+9=0}.

Posted by

jitender.kumar

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