Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 5y² – 9x² = 36

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Solution

The given equation is 5y² – 9x² = 36.

On comparing equation (1) with the standard equation of hyperbola i.e.,, we obtain a = and b = 2.

We know that a² + b² = c².

Therefore, the coordinates of the foci are.

The coordinates of the vertices are.

Length of latus rectum

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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 5y2 – 9x2 = 36

The given equation is 5y2 – 9x2 = 36. On comparing equation (1) with the standard equation of hyperbola i.e.,, we obtain a = and b = 2. We know that a2 + b2 = c2. Therefore, the coordinates of the foci are. The coordinates of the vertices are. Length of latus rectum

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 5y² – 9x² = 36

The given equation is 5y² – 9x² = 36.

On comparing equation (1) with the standard equation of hyperbola i.e.,, we obtain a = and b = 2.

We know that a² + b² = c².

Therefore, the coordinates of the foci are.

The coordinates of the vertices are.

Length of latus rectum