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  • The curve represented by   and  <img alt="\mathrm{y=b

The curve represented by  \mathrm{x=a e^\theta } and  \mathrm{y=b e^{-\theta}, \theta \in } , is a 

Option: 1

circle
 


Option: 2

parabola
 


Option: 3

hyperbola
 


Option: 4

none of these


Answers (1)

best_answer

\mathrm{ \begin{aligned} & \text { Multiply } x=a e^\theta \\ & \text { and } y=b e^{-\theta} \text {. We obtain } \\ & x y=a b \\ & =\text { const. } \\ & \end{aligned} }

which is the equation of a rectangular hyperbola.

The answer is (b)

Posted by

shivangi.bhatnagar

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