alleryThe pair of linear equations $3x + 5y = 12$ and $6x + 10y = 24$ represents lines which are:
Aintersecting at a single point
Bcoincident
Cparallel
Dperpendicular
Answer & Solution
Correct answer: B. coincident
1. Compare the coefficients: $a_1/a_2 = 3/6 = 1/2$, $b_1/b_2 = 5/10 = 1/2$, $c_1/c_2 = 12/24 = 1/2$.
2. Since $a_1/a_2 = b_1/b_2 = c_1/c_2$, the lines coincide.
3. Hence, the lines are **coincident**.
_Source: NCERT Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables'_
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