Respuesta :
Choose the correct conic section to fit the equation. x^2/36-y^2=1 Circle Ellipse Parabola Hyperbola
Solution:
The general equation of circle is:-
(x-h)²+(y-k)=r²
The general equation of ellipse is:-
[tex] \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{{b^{2}}}=1 [/tex]
The general equation of parabola is:-
y = a(x-h)²+k
The general equation of hyperbola is:-
[tex]\frac{(x-h)^{2}}{a^{2}}-\frac{(y-k)^{2}}{{b^{2}}}=1[/tex]
The equation of conic section is: x^2/36-y^2=1
[tex]\frac{(x-0)^{2}}{36}-\frac{(y-0)^{2}}{1}}=1[/tex]
[tex]\frac{(x-0)^{2}}{6^{2}}-\frac{(y-0)^{2}}{{1^{2}}}=1[/tex]
Hence, this is hyperbola.
Answer: Hyperbola Option (D)
