Question

Complete the following: Find the intercepts and devast (c) 25r? - 4y - 100 wercises 12.b 16yº 144 (a) 9x (e) **+ y2 = 1 () 9x² + 167 = 144

Answer 1

Given the equation of the hyperbola :

`-9x^2+16y^2=144`

Divide both sides by 144

`-(9x^2)/(144)+(16y^2)/(144)=1`
`\begin{gathered} -(x^2)/(16)+(y^2)/(9)=1 \\ \\ (y^2)/(3^2)-(x^2)/(4^2)=1 \end{gathered}`

So, the last result give us the following :

1. the transverse axis will be parallel to y- axis

2. The center of hyperbola = ( 0 , 0 )

3. There is no points of x- intercepts

4. y- intercepts are : y = -3 , y = 3

So, the points of y- intercepts are ( 0 , -3 ) and ( 0 , 3 )

5. Domain = All real numbers