Question

Find the equation of the hyperbola whose
(i) vertices are `(pm3,0)` and foci are `(pm5,0)`
(ii) vertices are `(p0,m2)` and foci are `(0,pm3)`
(iii) Foci are `(0,pm5)` and length of transverse axis is 8.
(iv) Foci are `(pm13,0)` and length of conjugate axis is 10.

Answer 1

Correct Answer - (i) `16x^(2)-9y^(2)=144` , (ii) `5y^(2)-4x^(2)=20` , (iii) `9y^(2)-16x^(2)=144` , (iv) `(x^(2))/(144)-(y^(2))/(25)=1`