Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
The point of intersection is the point where two or more functions meet.
The graphs of the hyperbola and ellipse have 0 point of intersection
The given parameters are:
[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]
To determine the points of intersection, we simply equate both equations.
So, we have:
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]
Cancel out the common terms
[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]
Collect like terms
[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]
[tex]\mathbf{5y^2= - 5y }[/tex]
Divide through by 5
[tex]\mathbf{y^2= - y}[/tex]
Divide through by y
[tex]\mathbf{y= -1}[/tex]
The system of equation does not give room to calculate the x-coordinate at the x-axis.
Hence, the graphs of the hyperbola and ellipse have 0 point of intersection
Read more about points of intersection at:
https://brainly.com/question/13373561
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.