AP EAMCET · Maths · Pair of Lines
The absolute value of the tangent of the difference of the angles made by the lines \(4 x^2-24 x y+11 y^2=0\) with the \(\mathrm{X}\)-axis is
- A \(\frac{4}{11}\)
- B \(\frac{24}{11}\)
- C \(\frac{4}{3}\)
- D \(\frac{11}{24}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
\(\because 4 x^2-24 x y+11 y^2=0 \Rightarrow(2 x-y)(2 x-11 y)=0\) \(\therefore\) Pair of equation of lines are \(2 x-y=0 \& 2 x-11 y=0\) and their angles from \(x\)-axis is:…
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