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Question -

Find the coordinates of the foci and thevertices, the eccentricity, and the length of the latus rectum of the hyperbola49y2 – 16x2 = 784



Answer -

The given equation is 49y2 – 16x2 = 784.

It can be written as 49y2 – 16x2 = 784

On comparing equation (1) with the standardequation of hyperbola i.e.,, we obtain a =4 and b = 7.

We know that a2 + b2 = c2.

Therefore,

The coordinates of thefoci are.

The coordinates of thevertices are (0, ±4).

Length of latus rectum

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