#linear-arMCQ

Consistency of Equations

No solution occurs when a_1/a_2 = b_1/b_2 ne c_1/c_2.

Practice Class 10 Maths assertion reasoning on consistency of equations with answer, solution, FAQ, and revision support.

Assertion: The pair $2 x + 3 y = 6$ and $4 x + 6 y = 15$ has no solution. Reason: If $a 1 a 2 = b 1 b 2 \neq c 1 c 2$ , the lines are parallel.

Choose the correct assertion-reasoning relation.

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FAQ

What condition gives no solution for two linear equations?

No solution occurs when $a 1 a 2 = b 1 b 2 \neq c 1 c 2$ .

Start with the question, try the answer once, then open the solution. Use the FAQ to clear the common confusion before moving to the next tag.

Common mistake: Students often compare only $a$ and $b$ ratios and forget the constant ratio.

Practice Class 10 Maths assertion reasoning on consistency of equations with answer and solution.