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Question

General form of a conic is ax2+2hxy+by2+2gx+2fy+c=0, if h2=ab, then the conic is

A
an ellipse
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B
a hyperbola
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C
a parabola
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D
None of the above
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Solution

The correct option is C a parabola
A pair of straight line if Δ=0, where Δ=abc+2fghaf2bg2+c=0.
or Δ=ahghbfgfc
For abc+2fghaf2bg2ch20 and h2=ab, conic is parabola.
So, option C is correct

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