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hw103 - 10.3 Pages 528-529 1-41 odd 1 x2 y 2 2 x 2 y 1 = 0...

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10.3 Pages 528-529 # 1-41 odd 1. 2 2 – 2 2 1 0 x y x y + + + = 2 2 ( – 2 1) ( 2 1) –1 1 1 x x y y + + + + = + + 2 2 ( –1) ( 1) 1 x y + + = This is a circle centered at ( ) 1, 1 . 3. 2 2 9 4 72 –16 124 0 x y x y + + + = 2 2 9( 8 16) 4( – 4 4) –124 144 16 x x y y + + + + = + + 2 2 9( 4) 4( – 2) 36 x y + + = This is an ellipse centered at ( ) 4,2 . 5. 2 2 9 4 72 –16 160 0 x y x y + + + = 2 2 9( 8 16) 4( – 4 4) –160 144 16 x x y y + + + + = + + 2 2 9( 4) 4( – 2) 0 x y + + = This is a point, ( ) 4,2 . 7. 2 – 5 – 4 – 6 0 y x y = 2 ( – 4 4) 5 6 4 y y x + = + + 2 ( – 2) 5( 2) y x = + This is a parabola with vertex at ( ) 2,2 . 9. 2 2 3 3 – 6 12 60 0 x y x y + + + = 2 2 3( – 2 1) 3( 4 4) –60 3 12 x x y y + + + + = + + 2 2 3( –1) 3( 2) –45 x y + + = This is the empty set. 11. 2 2 4 – 4 8 12 – 5 0 x y x y + + = 2 2 9 4( 2 1) – 4 – 3 5 4 – 9 4 x x y y + + + = + 2 2 3 4( 1) – 4 0 2 x y + = This is two intersecting lines, intersecting at ( ) 1,3/ 2 . 13. 2 4 – 24 36 0 x x + = 2 4( – 6 9) –36 36 x x + = + 2 4( – 3) 0 x = This is a line.
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15. 2 2 ( 3) ( 2) 1 4 16 x y + + + = 23. 2 2 4 2 16 1 0 x y x y + + + = 2 2 ( 2 1) 4( 4 4) 1 1 16 x x y y + + + + = − + + 2 2 ( 1) 4( 2) 16 x y + + = 2 2 ( 1) ( 2) 1 16 4 x y + + = 17.
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