Find The Equation Of The Hyperbola Whose Foci Are (6, 4) And (–4, 4) And Eccentricity Is 2.

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Question

Find the equation of the hyperbola whose foci are (6, 4) and (–4, 4) and eccentricity is 2.

None of these

medium

Solution

Correct option is

The centre of the hyperbola is the mid-point of the line joining the two foci. So the coordinates of the centre are

Let 2a and 2b be the length of transverse and conjugate axes and let e be the eccentricity. Then equation of hyperbole is

∴ Distance between the foci = 2ae

Thus the equation of the hyperbola is

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SIMILAR QUESTIONS

Q1

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Q2

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Q3

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Q4

Obtain the equation of a hyperbola with coordinate axes as principal axes given that the distances of one of its vertices from the foci are 9 and 1 units.

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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