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Mathematics · 2025 · 1 mark
Pair of Linear Equations in Two VariablesConsistency and Nature of Solutions1 markUnderstandassertion reason
CBSE 2025 · Region 2 · Set 1 · Q20
Assertion (A): The pair of linear equations px + 3y + 59=0 and 2 x +6 y +118=0 will have infinitely many solutions if p =1. Reason (R): If the pair…
Assertion (A) : The pair of linear equations px + 3y + $\displaystyle 59=0$ and $\displaystyle 2 \mathrm{x}+6 \mathrm{y}+118=0$ will have infinitely many solutions if $\displaystyle \mathrm{p}=1$.
Reason (R): If the pair of linear equations $\displaystyle \mathrm{px}+3 \mathrm{y}+19=0$ and $\displaystyle 2 \mathrm{x}+6 \mathrm{y}+157=0$ has a unique solution, then $\displaystyle \mathrm{p} \neq 1$.
Official answer
(B)
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
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