Q. 23

# Find the equation

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)

Foci at

So,

We know,

[Squaring on both sides]

---- (2)

Comparing (1) and (2) we get,

Solving the equations we get,

b1 =

b2 =

b3 =

b4 =

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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