Q1 of 71 Page 27

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

Given: 9x2 – 16y2 = 144


To find: eccentricity(e)


9x2 – 16y2 = 144





Formula used:


For hyperbola


Eccentricity(e) is given by,



Here, a = 4 and b = 3





⇒ c = 5


Therefore,



Hence, eccentricity is


More from this chapter

All 71 →
12

If the distance between the foci of a hyperbola is 16 and its eccentricity is, then obtain its equation.

 13

Show that the set of all points such that the difference of their distances from (4, 0) and (-4, 0) is always equal to 2 represents a hyperbola.

 2

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.