What is the transverse axis and conjugate axis of the hyperbola of the equation below ?
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OpenStudy (anonymous):
OpenStudy (sirm3d):
the transverse axis is \(2a\) while the conjugate axis is \(2b\)
OpenStudy (anonymous):
choices:
The transverse axis is 12 and the conjugate axis is 14.
The transverse axis is 14 and the conjugate axis is 12.
The transverse axis is 36 and the conjugate axis is 49.
The transverse axis is 49 and the conjugate axis is 36.
OpenStudy (sirm3d):
\(a\) and \(b\) are chosen in such a way that the sign of the term containing \(a^2\) is positive while that of \(b^2\) is negative.
OpenStudy (sirm3d):
in \(\displaystyle \frac{y^2}{49}-\frac{x^2}{36}=1\), \(a^2=49\)
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OpenStudy (anonymous):
The transverse axis is 49 and the conjugate axis is 36?
OpenStudy (sirm3d):
\(a^2=49\) so \(a=7\) and \(2a = 14\), the transverse axis.
OpenStudy (anonymous):
so its the 2nd option?
OpenStudy (sirm3d):
yes.
OpenStudy (anonymous):
thnx, bro!
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