Question

An ellipse has a center at the origin, a vertex along the major axis at (20, 0), and a focus at (16, 0). The equation of the ellipse is in the form below.

x²/a² + y²/b² = 1

What is the value of b in the equation?

12
16
20
24

Answer 1

Answer:

The value of b = 12.

Step-by-step explanation:

As the focus lies on the X-axis, The equation of the ellipse is in the form below.

x²/a² + y²/b² = 1

As the length of major axis is = a = 20

A focus at (16, 0) → c = 16

We know that the vertices and foci are related by the equation  

c² = a² - b²

(16)² = (20)² - b²

b² = 400 - 256

b² = 144

b  = 12

The value of b = 12.

Keywords: ellipse, ellipse equation, major axis, focus

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Answer 2

Answer:

B = 12

Step-by-step explanation:

Simply it is