Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases: conjugate axis is 7 and passes through the point (3, -2).

Question

Philoid · Accepted Answer

Given: conjugate axis is 5 and passes through the point (3, -2)

To find: the equation of the hyperbola

Formula used:

For hyperbola:

Conjugate axis is 2b

Therefore

The equation of hyperbola is:

Since it passes through (3, -2)

The equation of hyperbola:

Hence, required equation of hyperbola is 65x² – 36y² = 441

Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases:conjugate axis is 7 and passes through the point (3, -2).

Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases:
conjugate axis is 7 and passes through the point (3, -2).