AP EAMCET · Maths · Pair of Lines
The angle between the straight lines \(x^2+4 x y+y^2=0\) is.......
- A \(30^{\circ}\)
- B \(45^{\circ}\)
- C \(60^{\circ}\)
- D \(90^{\circ}\)
Answer & Solution
Correct Answer
(C) \(60^{\circ}\)
Step-by-step Solution
Detailed explanation
Let the angle \((\theta)\) between the straight lines \(x^2+4 x y+y^2=0\) Then, \(\tan \theta=\frac{2 \sqrt{(2)^2-1}}{1+1} \quad\left\{\because \tan \theta=\frac{2 \sqrt{h^2-a b}}{(a+b)}\right\}\) \(=\frac{2 \sqrt{3}}{2}=\sqrt{3} \Rightarrow \theta=60^{\circ}\)
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