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Pair of Linear Equations in Two Variables · Class 10 · CBSE Mathematics

For what value of k do the equations 3x - y = 5 and 6x - 2y = k represent coincident lines?

Practice question from Pair of Linear Equations in Two Variables (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-CD1CFC

For what value of kk do the equations 3x−y=53x - y = 5 and 6x−2y=k6x - 2y = k represent coincident lines?

  1. A.5
  2. B.10Correct answer
  3. C.-10
  4. D.Any real number except 10

Solution

For coincident lines, the condition is a1a2=b1b2=c1c2\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}. Here, 36=−1−2=5k\frac{3}{6} = \frac{-1}{-2} = \frac{5}{k}, which gives 12=5k\frac{1}{2} = \frac{5}{k}, leading to k=10k = 10.

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