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

If a point $(a, a)$ falls between the lines $|x+y|=4$, then
  1. $|a|=2$
  2. $|a|=3$
  3. $|a| < 2$
  4. $|a| < 3$

Solution

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

Asked in: AP EAMCET 2021 (25 Aug Shift 1)

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