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  • The equation of the chord of contact of tangents drawn from a point to the hyperbola <img alt="\math

The equation of the chord of contact of tangents drawn from a point (2, -1) to the hyperbola \mathrm{16 x^2-9 y^2=144} is

Option: 1

\mathrm{32 x+9 y=144}


Option: 2

\mathrm{32 x+9 y=55}


Option: 3

\mathrm{32 x+9 y+144=0}


Option: 4

\mathrm{32 x+9 y+55=0}


Answers (1)

best_answer

From \mathrm{T=0 \text { i.e., } \frac{x x_1}{a^2}-\frac{y y_1}{b^2}=1 \text {. Here, } 16 x^2-9 y^2=144 \text { i.e., } \frac{x^2}{9}-\frac{y^2}{16}=1}
So, the equation of chord of contact of tangents drawn from a point (2, -1) to the hyperbola is 
\mathrm{\frac{2 x}{9}-\frac{(-1) y}{16}=1} \\\\ \mathrm{i.e., 32 x+9 y=144}

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