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TS EAMCET · Maths · Pair of Lines

The area of the triangle formed by the pair of straight lines \((a x+b y)^2-3(b x-a y)^2=0\) and \(a x+b y+c=0\) is

  1. A \(\frac{c^2}{a^2+b^2}\)
  2. B \(\frac{c^2}{2\left(a^2+b^2\right)}\)
  3. C \(\frac{c^2}{\sqrt{2}\left(a^2+b^2\right)}\)
  4. D \(\frac{c^2}{\sqrt{3}\left(a^2+b^2\right)}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{c^2}{\sqrt{3}\left(a^2+b^2\right)}\)

Step-by-step Solution

Detailed explanation

Given that, equation of pair of straight lines is…