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Direction Cosines

find the equa...

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find the equation of hyperbola if its foci are(6,4),(-4,4) and eccentricity is 2

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The equation of the hyperbola whose foci are (6,4) and (-4,4) and eccentricity 2. is

Q. The distance between the foci of a hyperbola is

16

and its eccentricity is

\sqrt{2}

, find the equation of the hyperbola.

Q. The distance between the foci of a hyperbola is

16

and its eccentricity is

\sqrt{2}

, then find the equation of hyperbola.

Q. Find the equation of the hyperbola whose
(i) foci are (6, 4) and (−4, 4) and eccentricity is 2.
(ii) vertices are (−8, −1) and (16, −1) and focus is (17, −1)
(iii) foci are (4, 2) and (8, 2) and eccentricity is 2.
(iv) vertices are at (0 ± 7) and foci at

(0, \pm \frac{28}{3})

Q. If the distance between the foci of a hyperbola is 16 and its eccentricity is

\sqrt{2}

, then obtain the equation of the hyperbola.

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