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  • The nature of the lines represented by the equation <img alt="\mathrm{2 x^2-5 x y+2 y^2+4 x-5 y+2=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B2%20x%5E2-5%20x%20y&p

The nature of the lines represented by the equation \mathrm{2 x^2-5 x y+2 y^2+4 x-5 y+2=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

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

Posted by

Gaurav

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