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Chapter 10: Q. 20 (page 699)

In problems19-23, Identify each conic without completing the squares and without applying rotation of axes.

x2+2y2+4x-8y+2=0

Short Answer

Expert verified

The given equation represents an ellipse.

Step by step solution

01

Step 1. Given Information

The given equation of conic isx2+2y2+4x-8y+2=0

02

Step 2. Calculation

Here, B=0,A=1&C=2

Then, B2-4AC=0-4.1.2

=-8<0

Then the given equation represents an ellipse.

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Most popular questions from this chapter

Semi elliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20meters wide. The center of the arch is 6meters above the center of the river. See the figure. Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch.

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