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a. Prove that the hyperbola $\frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1$ never intersects its asymptotes.b. I $\frac{y^{2}}{16}-\frac{x^{2}}{9}=4$ a hyperbola? Is $\frac{y^{2}}{16}-\frac{x^{2}}{9}=-1$ a hyperbola? Explain.

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Precalculus

Algebra

Chapter 10

Quadratic Relations And Conic Sections

Section 5

Hyperbolas

Introduction to Conic Sections

Quadratic Functions

Introduction to Conic Section

Missouri State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

07:14

Show that the lines $ y = …

01:53

SynthesisShow that a h…

00:56

Show that the asymptotes o…

05:11

An equation of a hyperbola…

Given the hyperbola $\frac…

04:11

03:28

Graphing Shifted Hyperbola…

03:41

02:51

Show that the two asymptot…

04:48

here we are given with too hyperbolic equations, which are why is get over 16 minus ex scared over nine physical Diovan and why scared over 16 minus X scared over nine is equal to minus one. We were asked whether these equations are hyperbolic in nature or not. So the comparing the given equations with general equation, which is by minus at scared upon a scare minus X minus case care upon. Be scared is equal to one for the first equation. The equation fulfills E general equation we're at is equal to zero, and K is equal to zero is equal to four and basic or to three now shifting duty for a second question we are given with by scared by 16 minus X care by nine is equal to minus one. Multiplying the equation with minus one. We get ex scared by nine minus off. Why scare over 16 is equal to one. The question is similar to the general equation X minus zero scare upon Be scared minus via I minus zero. Scare upon for scare is equal to one here. The transfers have seizes along by X is here it is equal to four B is according three and H and K is equal to zero. So both these equations are hyperbolic in nature.

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