What are the asymptotes of the hyperbola given by the equation y squared over 1minus x squared over 121 = 1?

Question

rajee_sam · Answer

$$\frac{ y ^{2} }{ 1 } - \frac{ x ^{2} }{ 121 } = 1$$ This is of the form
$$\frac{ y ^{2} }{ a ^{2} } - \frac{ x ^{2} }{ b ^{2} } = 1$$ This Hyperbola will have a graph like the following with ots vertex in the y axis.|dw:1368624801705:dw|

rajee_sam · Answer

Now $$a ^{2} = 1; \space so \space a = 1$$$$b ^{2} = 121; \space So \space b = 11$$

The asymptotes are given by the equation $$y = \pm \frac{ a }{ b } x$$

$$y = \pm \frac{ 1 }{ 11 }x$$