A) A hyperbola
B) An ellipse
C) A pair of straight lines
D) A rectangular hyperbola
Correct Answer: C
Solution :
Given equation is \[{{y}^{2}}-{{x}^{2}}+2x-1=0\] Comparing the given equation with \[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\] We get, \[a=1\], \[h=0\], \[b=1\], \[g=1\], \[f=0\], \[c=-1\] \[\therefore \] \[\Delta =abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}\] \[\Delta =1+0+0-1=0\] Hence, the given equation represents two straight lines.
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