Home
Class 12
MATHS
Find the coordinates of the foci and the...

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

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the hyperbola given by the equation \( 16x^2 - 9y^2 = 576 \). We will follow these steps: ### Step 1: Rewrite the equation in standard form We start by rewriting the equation in the standard form of a hyperbola. Given: \[ 16x^2 - 9y^2 = 576 ...
Promotional Banner

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. 5y^2-9x^2=36

Find the coordinates of the foci, 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. (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. 49 y^2-16 x^2=784

Find the co-ordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola y^(2) - 25x^(2) = 25 .

Find the coordinates 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^2-16 x^2=1

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

Write the length o the latus rectum of the hyperbola 16 x^2-9y^2=144.

Write the length of the latus rectum of the hyperbola 16 x^2-9y^2=144.

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