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Question: Answered & Verified by Expert
If a point $(a, a)$ falls between the lines $|x+y|=4$, then
MathematicsStraight LinesAP EAMCETAP EAMCET 2021 (25 Aug Shift 1)
Options:
  • A $|a|=2$
  • B $|a|=3$
  • C $|a| < 2$
  • D $|a| < 3$
Solution:
1989 Upvotes Verified Answer
The correct answer is: $|a|=2$
Given line, $|x+y|=4$
$(a, a)$ fall on the line
$$
\begin{array}{r}
|a+a|=4 \\
|2 a|=4 \\
|a|=2
\end{array}
$$

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