Identify the conic with th e given equa­tion and give its equation in standard form 6x^2 - 4xy + 9y^2 - 20x - 10y - 5 = 0

melodykap 2020-11-09 Answered
Identify the conic with th e given equa­tion and give its equation in standard form 6x24xy+9y220x10y5=0
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Expert Answer

odgovoreh
Answered 2020-11-10 Author has 107 answers
Given 6x24xy+9y220x10y5=0 All degenerate conic sections have equations of the form Ax2+Bxy+Cy2+Dx+Ey+F=0.
Ax2+Bxy+Cy2+Dx+Ey+F=0 where A,B,C,D,E and F are constants. If B24AC is less than zero, if a conic exists and A = C, it will be a circle If B24AC is less than zero, if a conic exists , it will be ellipse. If B24AC equals zero, if a conic exists, it will be a parabola. If B24AC is greater than zero, if a conic exists, it will be a hyperbola. Here in equation 6x24xy+9y220x10y5=0, B24AC=42469
=16216
=200<0 and AC Hence it is an ellipse
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