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  • The equation of chord of the hyperbola 16x2 - 9y2 = 144, whose mid point is (5, 2) is Option: 1 <img alt="40x -

The equation of chord of the hyperbola 16x2 - 9y2 = 144, whose mid point is (5, 2) is 

Option: 1

40x - 9y = 3


Option: 2

40x - 9y = 1


Option: 3

40x - 9y = 180


Option: 4

40x - 9y = 182


Answers (1)

best_answer

Equation of hyperbola can be written as 

\frac{x^2}{9}- \frac{y^2}{16}= 1

Equation of the required chord is

\\\mathrm T=S_1\\\\\Rightarrow\frac{5x}{9}-\frac{2y}{16}-1=\frac{25}{9}-\frac{4}{16}-1\\\\\Rightarrow 80x-18y=364\\\Rightarrow 40x - 9y = 182

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shivangi.shekhar

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