Find the corrdinates of the foci and the...

Find the corrdinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas :
(i) `(x^(2))/(9)-(y^(2))/(16)=1` (ii) `y^(2)-16x^(2)=16`

Verified by Experts

The correct Answer is:

The eccentricity `e=(c )/(a)=(sqrt(17))/(4)` The latus rectum `(2b^(2))/(a)=(1)/(2)`

Similar Questions

Explore conceptually related problems

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (y^(2))/(9)-(x^(2))/(27)=1

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 5y^(2)-9x^(2)=36

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 9y^(2)-4x^(2)=36

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 16x^(2)-9y^(2)=576

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 49y^(2)-16x^(2)=784

Find the co-ordinates of the foci, eccentricity and length of the latus rectum of the hyperbola 16x^2 - 9y^2 = 144

The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 is

Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 is