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Question -

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola9y2 – 4x2 = 36



Answer -

The given equation is 9y2 – 4x2 = 36.

It can be written as

9y2 – 4x2 = 36

On comparing equation (1) with the standardequation of hyperbola i.e.,, we obtain a =2 and b = 3.

We know that a2 + b2 = c2.

Therefore,

The coordinates of thefoci are.

The coordinates of thevertices are.

Lengthof latus rectum

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