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Chapter 10: Q. 8 (page 654)

For an ellipse, the foci lie on a line called the ____ axis.

Short Answer

Expert verified

For an ellipse, the foci lie on a line called the $m a j o r a x i s$ axis.

Step by step solution

Step 1. Given Information

We want to fill the gap in the given equation with the missing terms.

Step 2. Solution

We know that

The line that passes through the foci is called a major axisand the minor axis is perpendicular to it.

Therefore the correct answer is major axis.

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Most popular questions from this chapter

True or False

The equation $3 x^{2} + B x y + 12 y^{2} = 10$ defines a parabola if $B = - 12$ .

Semi elliptical Arch Bridge The arch of a bridge is a semi ellipse with a horizontal major axis. The span is $30$ feet, and the top of the arch is $10$ feet above the major axis. The roadway is horizontal and is $2$ feet above the top of the arch. Find the vertical distance from the roadway to the arch at $5$ -foot intervals along the roadway.

1. The formula for the distance d from $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is d = _____.

In Problems 43–52, identify the graph of each equation without applying a rotation of axes.

10 x^{2} - 12 x y + 4 y^{2} - x - y - 10 = 0

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus at $(4, 0)$ and vertex at $(0, 0)$ .

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For an ellipse, the foci lie on a line called the ____ axis.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution

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Most popular questions from this chapter

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