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Chapter 10: Q. 20 (page 699)

In problems $19 - 23$ , Identify each conic without completing the squares and without applying rotation of axes.
$x^{2} + 2 y^{2} + 4 x - 8 y + 2 = 0$

Short Answer

Expert verified

The given equation represents an ellipse.

Step by step solution

Step 1. Given Information

The given equation of conic is $x^{2} + 2 y^{2} + 4 x - 8 y + 2 = 0$

Step 2. Calculation

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

Then, $B^{2} - 4 A C = 0 - 4.1.2$

$= - 8 < 0$

Then the given equation represents an ellipse.

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In problems $19 - 23$ , Identify each conic without completing the squares and without applying rotation of axes.
$x^{2} + 2 y^{2} + 4 x - 8 y + 2 = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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Most popular questions from this chapter

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In problems19-23, Identify each conic without completing the squares and without applying rotation of axes.x2+2y2+4x-8y+2=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In problems $19 - 23$ , Identify each conic without completing the squares and without applying rotation of axes.
$x^{2} + 2 y^{2} + 4 x - 8 y + 2 = 0$