00:00You give vertices like this, that you give vertices like 3, minus 2, minus 1, minus 2.
00:06Okay, these are vertices.
00:08And this is the focus.
00:09And I'm saying a question about hyperbola.
00:11Well, now I'm going to show you a very good trick.
00:15What is common thing?
00:16Y-coordinate.
00:18And here also what is common?
00:19Y-coordinate.
00:21If Y-coordinate is common, then it will be normal hyperbola, which is the equation.
00:26And if X-coordinate is common, then it will be conjugate hyperbola, here it will be plus, here it will
00:33be minus.
00:34Now, what is the equation?
00:37Let's start a little bit.
00:39K has this value minus 2.
00:42Now, H is required.
00:44And B is required.
00:45But if you give it a look, then C will come.
00:48And C and E will also come.
00:49Now, let's tell you.
00:50Equation is, plus minus C plus H, K.
00:55So, what is the thing that is repeated?
00:57What is C?
00:58One more plus and one minus.
00:59You can see C, what will happen?
01:01Root 5.
01:03If C is root 5, then it will be understood that this thing that you will have to be H1.
01:14If H1 is 1, then H will put here.
01:18So, what will be the question that you will have to be?
01:21Plus 2.
01:22Because once you have to be 2 plus, and if you have to minus 2 minus 1, then it will
01:26be minus 1.
01:26You can remove it again.
01:31So, if you do not do this, then the original method is that H plus A equals 3.
01:37So, let's take it again.
01:38Take it again.
01:40Take it again.
01:40H minus A equals minus A.
01:43Now, let's solve these two equations.
01:45You can remove it.
01:48A and H equals A.
01:49You can remove it.
01:50We will add up.
01:51A will cut.
01:52It will be equal to H2.
01:53It will be equal to H1.
01:54It will be equal to H2.
01:55It will be equal to H2.
01:56It will be equal to H2.
02:06It will be equal to H2.
02:08So, this thing is very very easy.