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AP EAMCET · Maths · Straight Lines

If a point \((a, a)\) falls between the lines \(|x+y|=4\), then

  1. A \(|a|=2\)
  2. B \(|a|=3\)
  3. C \(|a| < 2\)
  4. D \(|a| < 3\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(|a|=2\)

Step-by-step Solution

Detailed explanation

Given line, \(|x+y|=4\) \((a, a)\) fall on the line \[ \begin{array}{r} |a+a|=4 \\ |2 a|=4 \\ |a|=2 \end{array} \]