Question

Give the required elements of the hyperbola 2y^2-3x^2=6. The value of a is:
A.root2
B.root3
C.2
D.3

Answer 1

Answer:

The answer is C

Step-by-step explanation:

I knew because I took the test on edgeniuty

Answer 2

Answer:

The correct option is B) √3.

Step-by-step explanation:

Consider the provided equation.

$2y^2-3x^2=6$

Divide both of the side of the equation by 6.

$\frac{2y^2}{6}-\frac{3x^2}{6}=\frac{6}{6}$

$\frac{y^2}{3}-\frac{x^2}{2}=1$

$\frac{y^2}{(\sqrt{3})^2}-\frac{x^2}{(\sqrt{2})^2}=1$

The standard equation of the a hyperbola with center  at origin where the transverse axis is on the y-axis.

$\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$

Now compare the obtained equation with the standard equation of hyperbola we can concluded that:

a = √3 and b = √2

Hence the value of a is √3.

Thus, the correct option is B) √3.