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,±283.(v) vertices are at (± 6, 0) and one of the directrices is x = 4. [NCERT EXEMPLAR](vi) foci at (± 2, 0) and eccentricity is 3/2. [NCERT EXEMPLAR]

Find the equation of the hyperbola whose(i) foci are (6, 4) and (−4,

1.	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,±283.(v) vertices are at (± 6, 0) and one of the directrices is x = 4. [NCERT EXEMPLAR](vi) foci at (± 2, 0) and eccentricity is 3/2. [NCERT EXEMPLAR]
Answer» 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 $(0, \pm \frac{28}{3})$ . (v) vertices are at (± 6, 0) and one of the directrices is x = 4. [NCERT EXEMPLAR] (vi) foci at (± 2, 0) and eccentricity is 3/2. [NCERT EXEMPLAR]