perpendicular-asymptotes-for-what-values-of-a-and-b-are-the-asymptotes-of-the-hyperbola-x2-a2-y2-b21

Name: perpendicular asymptotes for what values of a and b are the asymptotes of the hyperbola x2 a2 y2 b21
Uploaded: 2020-05-31
Duration: 2 min 45 s
Channel: Numerade
Description: 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?

Question

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?

Farnood Ensan · Accepted Answer

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&#x27;t it? And while you sat again again, this look at some photos are positive. Make it&#x27;d be over a FDA close to eight, then Positive. Negative. You&#x27;re OK is positive. Negative one. I mean, no meant This still surprises naked form, you will have perpendicular angles. Now let&#x27;s look at our cases. If a is figured and B if a speaker don&#x27;t be every will have, its slopes are positively could be over a and he&#x27;s less than a which is less than what and they get. Hunt couldn&#x27;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&#x27;s Gourgeon, Hey and have a craft will look more acute. More like this and again, not her convicted. It&#x27;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.

Suman Saurav Thakur · Answer

they said, Remember, 62 we have you in the hyper bola excess squad by four minus y squared. But it be a spotty called one is given Fine, Be so that seems towards our perpendicular to each other So isn&#x27;t or should have been x equal to minus me by X and B by X. In this case, a symptoms will be Why call toe minus B by two X. I call Toby by two weeks. So these are the slopes off the same towers for this has imposed to be perpendicular minus B by two in tow, be by two. Should be minus one because multiplication of store slope is minus one for the life too perpendicular. So this will cancel out be a square will be equal toe for so people were equal to two. Okay, so who is the answer? Well, thank you

Savannah Payne · Answer

Okay, so we have to prove that the SM totes on this are perpendicular. So to do so we must know, um, the a value and the value. So in my mind, the Assam toads. Um, from what I can tell, the book makes it seem harder by trying to remember why is equal to plus and minus either be over a or a over B. What I know about these Assam totes is that they are they very directly. And so they are always I&#x27;m going to be. Why over X in this situation, Um, if I was thinking about standard form, this is the positive value. This is the negative. So this means that if I&#x27;d bite everything by five, it doesn&#x27;t really matter. But a squared is going to be five, and b squared is going to be five. Um, And so if I were thinking about the woods with the Y value, it would be, um, the square root of five is the B value over what&#x27;s with the eggs is the A, and also woods with a is the square root of five. Well, when you look at the square root of five over the square root of five. That&#x27;s just one. Um and so the definition of something that is perpendicular is that it has the opposite reciprocal slip. And so it doesn&#x27;t matter. Um, if I slip these around back and forth all day long, they are the same number. So any time that you have that But what this truly means right here this plus and minus this means why is equal to positive one over X and why is equal to negative one over X? Well, there&#x27;s those opposite signs and all day long, one over one again. If you keep flipping those, no matter what one over one is equal to one. Therefore they are perpendicular. In any time that you have a situation where a is equal to be, then you are going to have perpendicular House Senate votes. It doesn&#x27;t matter. It doesn&#x27;t matter what it is

Sriram Soundarrajan · Answer

Hello. You are never going to solve our problem. Number 15 here doesn&#x27;t bring us in our call. This hyper Bhola is a Cuban, but hi purple eyes gonna bake, of course, but he s square minus my square by square called Cooper for standard the you&#x27;re a square A could be throw standard that will be going through Yes. Oh, my b by year in the U. S. Here, plus or minus, year by year in tow. Learn if one day doing at the very cold wave at the other end while you go to minus six year, there&#x27;s no I&#x27;m gonna go to one. I am Greek going through mine, isn&#x27;t you? Both are happening that direct all their sloping big toe minus like weren&#x27;t indoor My toughened. You do minus our Yes, there are particular. Thank you.

Kader Bayar · Answer

they will find an equation of hyper bola whose us and told us perpendicular. Ah, so let&#x27;s get a general form of hyper bola, one of them here, you know that his equation and it&#x27;s us and toads will baby over a X. So ah, here we are looking for perpendicular assim told. It means that they intersect with 90 degrees. If they entire 2nd 90 degrees product off there, so will be negative one, that is, uh, slothful. One of them will be the the over eight and the other one will be negatively over a and they a product if they are intersect with 90 degrees. Ah, negative one. So we are looking for one day and when this product equal *** to one, uh, just when eight and be equal to each other is product equal negative one. So if, um in general equation, if the value off a and B equal, then a sin thoughts Ah ah entire sect with 90 do is that is there are perpendicular. So ah, if two given equation like X squared over four miners by square or for A and B are equally as you see for this equation or X squared over nine minus y squared over nine equal month, for example, afford this hyper gola also, um, the value off and the equal. It means that they&#x27;re assim thoughts are perverting.

Ankit Gupta · Answer

we are given the equation of I bola X squared. We weren&#x27;t working squared minus y squared whereby the squared is a good one. We need to find forward condition is and jobs Well, don&#x27;t bending village. So isn&#x27;t jobs our world in her any high bhalakula lines which are passing from Sander Striated night It is the s and don&#x27;t so we know what that equation for a same tops are Why is it going to plus minus B by OPEC&#x27;s for it to be perpendicular be buy into minus off bba A should be a good one This is the slope So am into my nestle and musical The one is a condition off particulars slopes So b square is it will do e square We know probable legal equations low into letting people slow Should be going to minus off went so we know that What did the slow here be by? So be buy into minus B by issued people minus a one minus minus cancers So we get the square is going tobe a square rich in place B is pulled away. So for any equation, real isn&#x27;t going to be in high. Bakula is in dogs. Bilby has been declining

Problem

A graph cach hyperbola on a graphing calculator a…

Problem 58 Easy Difficulty

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?

Answer

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