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What will (k) be for the equations (12x+ky=132) and (3x+10y=33) to have infinitely many solutions?

Answer and explanation

Correct answer: 40

Two linear equations have infinitely many solutions when a₁/a₂ = b₁/b₂ = c₁/c₂. Here, 12/3 = 132/33 = 4. Therefore, k/10 = 4, giving k = 40. Hence, option C is correct. Exam tip: In such questions, first compare the ratios of the known coefficients and constants, then determine the unknown coefficient.

Related tags

Linear EquationsSolvability ConditionsInfinite SolutionsParameterConditions For SolvabilityPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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