Question

Choose the correct graph to fit the inequality.

x ^2 - y^ 2 <9

Answer 1

It is the second one

Answer 2

⇒The given inequality is

x²-y²<9

`(x^2)/(3^2)-(y^2)/(3^2)<1`

⇒The general equation of Hyperbola is

`(x^2)/(a^2)-(y^2)/(b^2)=1`

→The curve will cut the x axis at (3,0) and (-3,0).

So, the given function matches with the curve of Hyperbola.

⇒When the points are from [-3,3] , the function will satisfy the given Inequality.That is if you take , points prescribed in the given interval the function will satisfy the inequality.

⇒Graph B