Mathematics, 18.04.2020 10:00, miya2579

In the derivation, the difference between the distances from any point P on a branch of the hyperbola to foci of the hyperbola is set equal to the constant value of .
2a is used in the equation because the is a point on the hyperbola and it is the difference in the distances from this point to the foci.
This can be shown algebraically if we let a be the distance from the to the vertex. Then, the difference of the distances is (c + a) – .

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In the derivation, the difference between the distances from any point P on a branch of the hyperbol...