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27. Hyperbola
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Q6 of 71 Page 27

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

Given: 16x2 – 9y2 = 144


To find: length of latus-rectum of hyperbola.


16x2 – 9y2 = 144





Formula used:


For hyperbola


Length of latus rectum is


Here, a = 3 and b = 4


Length of latus rectum,





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4

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

5

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

7

If the latus-rectum through one focus of a hyperbola subtends a right angle at the farther vertex, then write the eccentricity of the hyperbola.

8

Write the distance between the directrices of the hyperbola

x = 8 sec θ, y = 8 tan θ.

Questions · 71
27. Hyperbola
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