A hyperbola has the pair of asymptotes and

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

A hyperbola has the pair of asymptotes

y=\dfrac{3}{4}x

and

y=-\dfrac{3}{4}x

. One of its vertices is at the point

(5,0)

. (i) Determine the values of

a

and

b

for the hyperbola. (ii) Using these values, write the standard equation of the hyperbola.