Find the following properties of hyperbola for the given equation (i) Points where hyperbola intersects the x-axis (ii) eccentricity (iii) foci (iv) distance between the foci (v) length of the latus rectum Equation of the hyperbola is x2. Equation of hyperbola in its standard form x²/16 - y²/9² = 1 Solution Concepts to be used For the hyperbola x²/a² - y²/b² = 1 The hyperbola intersects x axis at (a,0) and (-a,0). b² = a²(e²-1) Where e = eccentricity Focus is (ae,0).

1. Find the following properties of hyperbola for the given equation
(i) Points where hyperbola intersects the x-axis
(ii) eccentricity
(iii) foci
(iv) distance between the foci
(v) length of the latus rectum
Equation of the hyperbola is x2. Equation of hyperbola in its standard form
x²/16 - y²/9² = 1
Solution
Concepts to be used For the hyperbola x²/a² - y²/b² = 1 The hyperbola intersects x
axis at (a,0) and (-a,0). b² = a²(e²-1) Where e = eccentricity Focus is (ae,0)