Question

How many points of intersection are there between the graphs of the two hyperbolas?

Answer 1

The graphs of the hyperbola have zero point of intersection.

What is the point of intersection?

The point of intersection is the point where two or more functions meet.

The given parameters;

3x² – 4y² + 4x – 8y +4= 0

3x² + y² + 4x – 3y +4= 0

To find the points of intersection, we simply equate both equations.

So;

3x² – 4y² + 4x – 8y +4= 3x² + y² + 4x – 3y +4

Now Cancel out the common terms

y² - 3y = - 4y² - 8y

Collect like terms;

y² + 4y²=  3y - 8y

5y² = - 5y

Divide through by 5

y² = -y

Divide through by y

y = -1

Hence, the graphs of the hyperbola have zero point of intersection.

Read more about points of intersection at:

brainly.com/question/13373561

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