Question

Which of the following equations will produce the graph shown below?

Answer 1

Answer:

Option (B) is correct.

$\frac{x^2}{20}+\frac{y^2}{20}=1$  equation will produce the graph shown.

Step-by-step explanation:

Given  a graph showing circle .

We have to determine the equation that will produce the graph shown.

Consider the given graph.

It shows a circle with radius 4.5

The general equation of circle is represented by $x^2+y^2=r^2$    

Since option (A) represents the equation of hyperbola.

Option (C) represents the equation of circle with radius 4, but the given graph has radius grater than 4 .

Option (D) can be rewritten as  by dividing by 6,

$x^2+y^2=\frac{144}{6}=24$  which is a equation of circle with radius 4.9 (approx)

Thus, only Option (B) works for the given graph.

$\frac{x^2}{20}+\frac{y^2}{20}=1$

Multiply , by 20 , we get,

$x^2+y^2=20$ also, $\sqrt{20}=4.47(approx)$

Thus, Option (B) is correct.

$\frac{x^2}{20}+\frac{y^2}{20}=1$

 

         

Answer 2

Answer: B

Step-by-step explanation: