Question

Find the coordinates of the foci, vertices, eccentricity, length of transverse axis and conjugate axis and length of latus rectum of the hyperbola.

(i) x²/16 - y²/9 = 1

(ii) y²/9 - x²/27 = 1

(iii) 9y² - 4x² = 36

(iv) 16x² - 9y² = 576

(v) 5y² - 9x² = 36

(vi) 49y² - 16x² = 784

(vii) y² - 16x² = 16

Answer 1

(i) Given x²/16 - y²/9 = 1

(iii) Given 9y² - 4x² = 36  .....(1)

This is not in the standard from so, dividing (1)