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  • The angle between the lines <img alt="x^{2}+4xy+y^{2}= 0," src="https://entrancecorner.oncodecogs.c

The angle between the lines x^{2}+4xy+y^{2}= 0,  is

Option: 1

30^{\circ}
 


Option: 2

45^{\circ}

 


Option: 3

60^{\circ}


Option: 4

None of these


Answers (1)

best_answer

Angle between pair of lines

\tan \Theta = 2\left | \frac{\sqrt{h^{2}-ab}}{a+b} \right |

 

Here a = 1, b = 1, h = 2

\tan \Theta =\left | \frac{2\sqrt{h^{2}-ab}}{a+b} \right |= \frac{2\sqrt{4-1}}{2}= \sqrt{3}

\therefore\: \: \: \: \Theta = 60^{\circ}

Posted by

Riya

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