Find the angle between the pair of lines represented by the equation x 2 + 4 x y + y 2 = 0 .

Find the angle between the pair of lines represented by the equation x2+4xy+y2=0.
  1. 30∘
  2. 45∘
  3. 60∘
  4. 90∘

Solution

We have the equation of a pair of a straight lines 

 x2+4xy+y2=0 ,

So, the angle between the pair of straight lines is 

θ=tan-1222-11+1=tan-13=60°

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

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