Question -
Answer -
Given:
The equation=> 25x2 – 36y2 =225
The equation can be expressed as:
The obtained equation is of the form
Where, a = 3 and b = 5/2
Eccentricity is given by:
Foci: The coordinates of the foci are (±ae, 0)
(±ae, 0) = ±3 (√61/6) = ± √61/2
(±ae, 0) = (± √61/2, 0)
The equation of directrices is given as:
The length of latus-rectum is given as:
2b2/a
∴ Transverse axis = 6, conjugate axis = 5, e = √61/6, LR =25/6, foci = (± √61/2, 0)