2 Answers

Shui · Answer 1 · 2019-04-11T22:24:14+0000

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:-

$((x-h)^(2))/(a^(2))+\frac{(y-k)^(2)}{{b^(2)}}=1$

The general equation of parabola is:-

y = a(x-h)²+k

The general equation of hyperbola is:-

$((x-h)^(2))/(a^(2))-\frac{(y-k)^(2)}{{b^(2)}}=1$

The equation of conic section is: x^2/36-y^2=1

((x-0)^(2))/(36)-((y-0)^(2))/(1)}=1

$((x-0)^(2))/(6^(2))-\frac{(y-0)^(2)}{{1^(2)}}=1$

Hence, this is hyperbola.

Answer: Hyperbola Option (D)

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