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KCET2011MathematicsStraight Lines

If lines represented by x+3 y-6=0 , 2 x+y-4=0 and k x-3 y+1=0 are concurrent, then the value of k is

Options

  1. A6 19
  2. B19 6
  3. C- 19 6
  4. D- 6 19

Correct answer

B. 19 6

Step-by-step solution

Given lines are, aligned &x+3 y-6=0 &2 x+y-4=0 &k x-3 y+1=0 aligned these given lines will concurrent when | array rrr 1 & 3 & -6 2 & 1 & -4 k & -3 & 1 array |=0 Expand with respect to R₁ : 1(1-12)-3(2+4 k)-6(-6-k)=0 -11-6-12 k+36+6 k=0 -6 k-17+36=0 6 k=19 k= 19 6

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