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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 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

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