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

The answer is C

Explanation:

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Answer 2

The correct option is B) √3.

Explanation:

Consider the provided equation.

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

Divide both of the side of the equation by 6.

`(2y^2)/(6)-(3x^2)/(6)=(6)/(6)`

`(y^2)/(3)-(x^2)/(2)=1`

`(y^2)/((√(3))^2)-(x^2)/((√(2))^2)=1`

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

`(y^2)/(a^2)-(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.