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Perpendicular Asymptotes For what values of $a$ and $b$ are the asymptotes of the hyperbola $x^{2} / a^{2}-y^{2} / b^{2}=1$ perpendicular?

Calculus 2 / BC

Precalculus

Chapter 10

The Conic Sections

Section 3

The Hyperbola

Polar Coordinates

Introduction to Conic Sections

Johns Hopkins University

Piedmont College

Oregon State University

University of Michigan - Ann Arbor

Lectures

07:16

In mathematics, a continuo…

04:09

01:11

Given the hyperbola $\frac…

02:37

Perpendicular Asymptotes <…

00:56

Show that the asymptotes o…

01:46

Find the equation of a hyp…

01:54

01:03

Find the equations of the …

02:51

Show that the two asymptot…

02:47

If the asymptotes of the h…

07:14

Show that the lines $ y = …

01:38

Find the vertices and the …

and this problem will give it this following equation which is the on general format of her book. Every asked for what dollars of a and b are the acid totes a paragraph perpendicular to one another. So if this is the general shape of a hyper bowl, uh, you said to find this ankle boots Vienna, we want it to be perpendicular or 90 decrease. Well, I think about it when A and B are both you goto Juan. In the regular format, you have to falling. You have, like, this left side on the right side, and then the ass enters are technically perpendicular because best I seven tree each assam toe splits the angle creative I t x and the y axis into half or 45 degrees. Therefore, it will be 45. This will be 45 overall will be perpendicular for 90 degrees. So if a because to be then, um, little house perpendicular, hasn't it? And while you sat again again, this look at some photos are positive. Make it'd be over a FDA close to eight, then Positive. Negative. You're OK is positive. Negative one. I mean, no meant This still surprises naked form, you will have perpendicular angles. Now let's look at our cases. If a is figured and B if a speaker don't be every will have, its slopes are positively could be over a and he's less than a which is less than what and they get. Hunt couldn't negative. Therefore, our ass centers will look something more like this, and we can see that the angles are not perpendicular. Same did the officer. If he's Gourgeon, Hey and have a craft will look more acute. More like this and again, not her convicted. It's the only case to get perpendicular angles after the passage of meat is a vehicle sabih and take a few positive. It could be a few goes, possess negative B and are not equal to zero.

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