Given: Foci at and passing through the point P(3, 4)
Need to find: The equation of the hyperbola.
Let, the equation of the hyperbola be:
It passes through the point P(3, 4)
So putting the values of (x, y) we get,
⇒ ---- (1)
⇒ [Squaring on both sides]
⇒ ---- (2)
Comparing (1) and (2) we get,
Solving the equations we get,
With the help of any of these values of b we can’t find out the equation of the hyperbola.
* This is the only process we can apply in this standard.
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