Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

In the standard equation for a conic section Ax + Bxy + y2 + Dx +Ey + F = 0, if AC < 0, the conic section in question is a hyperbola.TrueFalse

In The Standard Equation For A Conic Section Ax Bxy Y2 Dx Ey F 0 If AC Lt 0 The Conic Section In Question Is A HyperbolaTrueFalse class=

Sagot :

Using the general equation of the conics we can analyze what type of conical section we can get:

[tex]Ax^2+Bx\cdot y+Cy^2+Dx+Ey+F=0[/tex]

By changing the values of any of the constants, the shape of the corresponding conic will also change. For the case of the hyperbola

[tex]\begin{gathered} B^2-4\cdot A\cdot C>0 \\ \end{gathered}[/tex]

For this inequality to be fulfilled, we can guarantee that the second term is positive, since the second term is negative (-4AC), this must be less than zero, and by law of signs it becomes positive and the inequality is fulfilled.

[tex]A\cdot C<0_{}\to\text{True}[/tex]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.