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What value of (k) makes (kx+3y=6) and (8x+6y=15) have no solution?

Answer and explanation

Correct answer: 4

A pair of linear equations has no solution when the ratios of the coefficients of x and y are equal, but the ratio of the constant terms is different. Thus, k/8 = 3/6 gives k = 4. Also, 6/15 is not equal to 3/6, so the two lines are distinct and parallel. Therefore, 4 is correct. Exam tip: For no solution, check a₁/a₂ = b₁/b₂ ≠ c₁/c₂.

Related tags

Pair Of Linear EquationsConditions For SolvabilityNo SolutionParameterParallel LinesPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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