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  • The nature of the lines represented by the equation <img alt="\mathrm{2 x^2+2 x y+y^2+6 x+2 y+5=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B2%20x%5E2&plus;2%20x%20y&amp

The nature of the lines represented by the equation \mathrm{2 x^2+2 x y+y^2+6 x+2 y+5=0} is:

 

Option: 1

 a pair of intersecting lines
 


Option: 2

a pais of parallel lines


Option: 3

a pair of imaginaly lines

 


Option: 4

None of these


Answers (1)

best_answer

It is easy to see that \mathrm{\Delta=0} and \mathrm{h^2-a b<0}, thus represents a pair of imaginary lines.

Posted by

jitender.kumar

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