Which statements about the hyperbola are true? Select two options. There is a focus at (0, 12). y = x is an asymptote. y = x is an asymptote. x = is a directrix. y = is a directrix. Mark this and return

In this, question a diagram is attached, that defines the details about the hyperbola. In this question option a and option d is correct, which can be described as follows:

In the first option, y =x is an asymptote, when the value of y is increasing then the value of x is also increase.
In the last option, y is directrix that's why it is also correct.

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-06-06T17:07:28+02:00

The option y = (-4/3)x is an asymptote, and y = (-32/5) is a directrix option (B) and (E) are correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have a graph of a hyperbola.

As we know, the general form of a hyperbola is:

[tex]\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the hyperbola.

The equation of the asymptotes are:

y = (b/a)(x-h)+k

and

y = (-b/a)(x-h)+k

From the graph:

y = (-4/3)x and

y = (-32/5)

Thus, the option y = (-4/3)x is an asymptote, and y = (-32/5) is a directrix option (B) and (E) are correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

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