Q4 of 71 Page 27

Write the equation of the hyperbola of eccentricity, if it is known that the distance between its foci is 16.

Given: Distance between foci is 16 and eccentricity is


To find: equation of the hyperbola


Formula used:


Standard form of the equation of hyperbola is,



Distance between foci is given by 2ae


According to question:


2ae = 16






⇒ a2 = 32


We know,


b2 = a2(e2 – 1)




⇒ b2 = 32


Hence, equation of hyperbola is:




⇒ x2 – y2 = 32


More from this chapter

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Write the eccentricity of the hyperbola whose latus-rectum is half of its transverse axis.

 3

Write the coordinates of the foci of the hyperbola 9x2 – 16y2 = 144.

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If the foci of the ellipse and the hyperbola coincide, write the value of b2

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Write the length of the latus-rectum of the hyperbola 16x2 – 9y2 = 144.