00:01
In the third question, we are given a equation of hyperbola y square over 4 minus x square over 1 equal 1.
00:11
And we will get coordinate of vertices, fosci, and we will match its graph.
00:16
So first of all, let's remember the standard form of this kind of hyperbola.
00:22
It is y square over a square minus x square over b square equal 1.
00:30
And here a y -square term is positive.
00:35
It means that the transverse axes lie along the y -axis, and the coordinate of vertices will be o -negative a -o -a, and the coordinate of fossi will be o -negative c -o -c.
00:55
So to find these coordinates, we need to get the value.
01:01
Of a and c first of all.
01:04
And as you see here, denominator of y square equals a square, so a square equal four.
01:11
The denominator of x square is b square, so b square equals one from our equation.
01:18
Then a is equal to two.
01:21
It means the coordinate of vertices will be 0 -n -negative 2, o and 2.
01:30
And to find the coordinate of fosai, we need to find c.
01:34
So we must use the formula, c squared, equal a squared plus b squared.
01:40
So c squared equal, replace a squared and b squared.
01:46
4 plus 1, c squared equal 5.
01:50
Take both sides square root.
01:53
C is equal to root of 5...