AP EAMCET · Maths · Pair of Lines
The area (in sq units) of the quadrilateral formed by two pairs of lines \(\lambda^2 x^2-m^2 y^2-n(\lambda x+m y)=0 \quad\) and \(\lambda^2 x^2-m^2 y^2+n(\lambda x+m y)=0\) is:
- A \(\frac{n^2}{2|\lambda m|}\)
- B \(\frac{n^2}{|\lambda m|}\)
- C \(\frac{n}{2|\lambda m|}\)
- D \(\frac{n^2}{4|\lambda m|}\)
Answer & Solution
Correct Answer
(A) \(\frac{n^2}{2|\lambda m|}\)
Step-by-step Solution
Detailed explanation
Equation of lines are \(\lambda x+m y=0, \lambda x-m y-n=0\) and \(\quad \lambda x-m y=0, \lambda x+m y+n=0\) or \(\quad \lambda x+m y=0, \lambda x+m y+n=0\) and \(\quad \lambda x-m y=0, \lambda x-\lambda m-n=0\) Area…
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