CBSE 2025 · Region 6 · Set 3 · Q26 · 3 marks
Check whether the given system of equations is consistent or not. If consistent, solve graphically. \[\begin{aligned} & x-2 y=0 \\ & 2 x+y=0 \end{aligned} \]
Marking-scheme solution
\[\begin{aligned}
& \frac{a_{1}}{a_{2}}=\frac{1}{2} ; \frac{b_{1}}{b_{2}}=\frac{-2}{1}=-2 \\
& \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}
\end{aligned}
\]
∴ System of equation is consistent.Solution is \(\displaystyle (0,0)\) or \(\displaystyle x=0\) and \(\displaystyle y=0\)
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.