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  • The nature of the lines represented by the equation <img alt="\mathrm{\mathrm{x}^2+2 \mathrm{xy}+\mathrm{y}^2+12=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cmathrm%7Bx%7

The nature of the lines represented by the equation \mathrm{\mathrm{x}^2+2 \mathrm{xy}+\mathrm{y}^2+12=0} is:
 

Option: 1

a pair of intersecting lines
 


Option: 2

a pair of parallel lines


Option: 3

 a pair of imaginary lines

 


Option: 4

None of these


Answers (1)

best_answer

Solution It is easy to see that \mathrm{\Delta=0} and \mathrm{h^2-a b=0} and \mathrm{f^2-b c<0}. Thus a pair of imaginary lines.

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Gaurav

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