Question 1170614
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<pre>

The equation should be of the form

    {{{x^2/a^2}}} - {{{y^2/a^2}}} = 1,


as for general hyperbola equation, with the imposed condition a = b for its coefficients, providing 

the right angle between asymptotes.



This coefficient "a" is the distance from the center (from the sun) to the vertex of the hyperbola, which is given

    a = 6 x 10^9 miles.



So, the equation is  

    {{{x^2}}} - {{{y^2}}} = {{{36*10^18}}},   or, which is the same

    {{{x^2}}} - {{{y^2}}} = {{{3.6*10^19}}}.       <U>ANSWER</U>
</pre>

Solved.