Given: Foci are (0, ±10) and the length of latus rectum is 9 units
Need to find: The equation of the hyperbola.
Let, the equation of the hyperbola be:
That means, ae = 10, where e is the eccentricity.
We know that,
The value of \(b=\sqrt{-\frac{9\times 25}{2\times 2}}\) is not a valid one. So, the b value and its corresponding a value is not acceptable.
Hence, the acceptable value of a is 16 and b is 6√2
So, the equation of the hyperbola is,
