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The conic represented by the equation `x^(2)+y^(2)-2xy+20x+10=0,` isA. Pair of straight linesB. CircleC. ParaabolaD. Ellipse |
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Answer» Correct Answer - C Comparing the given equation with the equation `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0,` we have `a=1, b=1, h=-1, c=10, g =10" and "f=0` `:." "abc+2fgh-af^(2)-bg^(2)-ch^(2)=10-100=-100ne0.` and, `h^(2)-ab=(-1)^(2)-1xx1=0rArrh^(2)=ab` Thus, we have `Deltane0" and "h^(2)=ab` So, the given equation represents a parabola. |
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