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If the equation \mathrm{4 x^2+k y^2=18}  represents a rectangular hyperbola, then k = 

 

 

Option: 1

4


Option: 2

-4


Option: 3

3


Option: 4

None of these


Answers (1)

best_answer

We know that the equation

\mathrm{a x^2+b y^2+2 h x y+2 g x+2 f y+c=0}

represent a rectangular hyperbola if \mathrm{\Delta \neq 0, h^2>a b} and \mathrm{a+b=0}.

\mathrm{\therefore }The given equation represents a rectangular hyperbola if \mathrm{4+k=0 \text { i.e. } k=-4}

 

Posted by

shivangi.bhatnagar

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