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  • <img alt="\mathrm{\text { The equation } x^2+y^2+4 x+2 y+5=0 \text { represents }}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Ctext%20%7B%20The%20equation%20%7D%20x%5E2&amp

\mathrm{\text { The equation } x^2+y^2+4 x+2 y+5=0 \text { represents }}

Option: 1

a circle of non–zero area


Option: 2

an ellipse of non–zero area 

 


Option: 3

a pair of non–parallel straight lines


Option: 4

a pair of imaginary lines with real point of intersection

 


Answers (1)

best_answer

We observe that \mathrm{\Delta=0 \text { and } h^2-a b<0}, thus the given equation represents a pair of imaginary lines with real point of intersection. Note that the given equation also represents a circle of zero radius. 

 

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Rishabh

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