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What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid


What Is The Name Of The Shape Depicted In The Graph Below A Limaçon B Lemniscate C Rose D Cardioid class=

Sagot :

Answer: Lemniscate

Step-by-step explanation:

View image vthebeast

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

What is lemniscate?

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

https://brainly.com/question/12478682

View image maheshpatelvVT