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Q48.

Expert-verifiedFound in: Page 677

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

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

$10{x}^{2}+12xy+4{y}^{2}-x-y+10=0$The equation defines ellipse.

The given equation is $10{x}^{2}+12xy+4{y}^{2}-x-y+10=0$

Here $A=10,B=12,C=4$

${B}^{2}-4AC={12}^{2}-4\left(10\right)\left(4\right)\phantom{\rule{0ex}{0ex}}{B}^{2}-4AC=144-160=-16<0$

The equation defines ellipse.

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