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Position of a Point W.R.T Hyperbola

The point 5,-...

Question

The point (5,-4) lies inside the hyperbola $9 x^{2} - y^{2} = 1$ .

True

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False

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Solution

The correct option is A True

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Similar questions

(5, - 4)

9 x^{2} - y^{2} = 1

S = 9 x^{2} - y^{2} - 1

(5, - 4)

S_{1} > 0

\frac{x^{2}}{3} - \frac{y^{2}}{5} = 1

\frac{x^{2}}{3} - \frac{y^{2}}{5} = 1

(7, - 3)

9 x^{2} - 4 y^{2} = 36

(x_{1}, y_{1})

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

\frac{x_{1}^{2}}{a^{2}} - \frac{y_{1}^{2}}{b^{2}} - 1 > 0

(7, - 3)

9 x^{2} - 4 y^{2} = 36

(2, 7)

(x_{1}, y_{1})

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

\frac{x_{1}^{2}}{a^{2}} - \frac{y_{1}^{2}}{b^{2}} - 1 < o r = o r > 0

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