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Find the co-ordinates of the vertices, t...

Find the co-ordinates of the vertices, the foci, the eccentricity and the length of latus-rectum of the hyperbolas :
(a) `(x^(2))/(9) -(y^(2))/(16)` = 1
(b) (i) ` 16x^(2) - 9y^(2) = 576 `
(ii) `y^(2) -16x^(2) ` = 1
(iii) `5y^(2) - 9x^(2) = 36 `
(iv) `49y^(2) - 16x^(2) = 784`.

Text Solution

Verified by Experts

The correct Answer is:
`(a) (32)/(3) `
(b) `(64)/(3)`
(ii) `(1)/(2)`
(iii) `(4sqrt(5))/(3) `
(iv ) ` (49)/(2) `.
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