Question:
If the point \((a,a)\) is placed in between the lines \(|x+y| = 4\) then
If the point \((a,a)\) is placed in between the lines \(|x+y| = 4\) then
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For point between parallel lines, the value of the linear expression lies between the constants.
Updated On: Apr 23, 2026
- \(|a| = 2\)
- \(|a| = 3\)
- \(|a|<2\)
- \(|a|<3\)
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The Correct Option is C
Solution and Explanation
Step 1: Formula / Definition}
\[ |x+y| = 4 \Rightarrow x+y = 4 \text{ or } x+y = -4 \]
Step 2: Calculation / Simplification}
Point \((a,a)\) lies between the lines if:
\(-4<a+a<4\)
\(-4<2a<4\)
\(-2<a<2 \Rightarrow |a|<2\)
Step 3: Final Answer
\[ |a|<2 \]
\[ |x+y| = 4 \Rightarrow x+y = 4 \text{ or } x+y = -4 \]
Step 2: Calculation / Simplification}
Point \((a,a)\) lies between the lines if:
\(-4<a+a<4\)
\(-4<2a<4\)
\(-2<a<2 \Rightarrow |a|<2\)
Step 3: Final Answer
\[ |a|<2 \]
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