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AP EAMCET202022 Sep 2020Morning ShiftMathematicsStraight LinesActual

The number of the values of ' k ' for which the lines 2 x+y=1,3 x+2 y=2, k x+3 y=3 are concurrent is .........

Options

  1. A0
  2. BInfinity
  3. C1
  4. D2

Correct answer

B. Infinity

Step-by-step solution

It is given that the lines 2 x+y=1,3 x+2 y=2 and k x+3 y=3 are concurrent, so | array ccc 2 & 1 & -1 3 & 2 & -2 k & 3 & -3 array |=0 The elements of columns C₂ and C₃ are proportional to each other, so for any value of k given lines are concurrent.

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