Identify the graph of the given nondegenerate conic sections: 3x^2 + 2y^2 + 12x - 4y + 2 = 0.

chillywilly12a 2021-02-25 Answered
Identify the graph of the given nondegenerate conic sections: 3x2+2y2+12x4y+2=0.
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insonsipthinye
Answered 2021-02-26 Author has 83 answers

Step 1 A nondegenerate conic section of the form, Ax2+By2+Cx+Dy+E=0 Where A and B both are not zero.

1) A circle if A=B

2) A parabola if AB=0

3) An ellipse if A is not equal to B and AB>0

4) A hyperbola if AB<0

Step 2 Given that, 3x2+2y2+12x4y+2=0 Here A=3 and B=2 So A and B are not equal and AB=(3)(2)=6>0 Hence the graph of the equation is ellipse.

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