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MHT CET · Maths · Straight Lines

The acute angle between the line \(4 x-2 y+13=0\) and the line which makes equal intercepts with the co-ordinate axes is

  1. A \(\tan ^{-1}(2)\)
  2. B \(\tan ^{-1}(3)\)
  3. C \(\tan ^{-1}\left(\frac{1}{2}\right)\)
  4. D \(\tan ^{-1}\left(\frac{1}{3}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\tan ^{-1}(3)\)

Step-by-step Solution

Detailed explanation

\(m_1 = -\frac{4}{-2} = 2\) \(x+y=a \implies m_2 = -1\)