Q83 / 160 · AP EAMCET 2021 (25 Aug Shift 1) · Mathematics
If a point $(a, a)$ falls between the lines $|x+y|=4$, then
- Correct answerA$|a|=2$
- B$|a|=3$
- C$|a| < 2$
- D$|a| < 3$
Solution
Given line, $|x+y|=4$
$(a, a)$ fall on the line
$$
\begin{array}{r}
|a+a|=4 \\
|2 a|=4 \\
|a|=2
\end{array}
$$
Hence, the correct answer is option: 'A'.