Find-the-asymptotes-of-the-hypebola-whose-equation-is-given-by-x-24-y-29-1-

Question Number 9731 by tawakalitu last updated on 29/Dec/16

Find the asymptotes of the hypebola whose

equation is given by .

\frac{x}{24} - \frac{y}{29} = 1

Commented by geovane10math last updated on 29/Dec/16

\frac{29 x - 24 y}{696} = 1

29 x - 24 y = 696

29 x - 696 = 24 y

y = \frac{29 x - 696}{24} = \frac{29 x}{24} - 29

y is a function f (x) = ax + b, a = \frac{29}{24} and

b = - 29

Answered by sandy_suhendra last updated on 29/Dec/16

the equation of hyperbola \equiv \frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1

the centre of hyperbola = (h, k) = (0, 0)

a^{2} = 24 \Rightarrow a = 2 \sqrt{6}

b^{2} = 29 \Rightarrow b = \sqrt{29}

the equation of hyperbola asymtotes : y = \pm \frac{b}{a} (x - h) + k

\Rightarrow y = \pm \frac{\sqrt{29}}{2 \sqrt{6}} x

\Rightarrow y = \pm \frac{\sqrt{174}}{12} x

Commented by tawakalitu last updated on 29/Dec/16

i really appreciate sir . God bless you .