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AP EAMCET2008MathematicsStraight Lines

The value of k such that the lines 2 x-3 y+k=0, 3 x-4 y-13=0 and 8 x-11 y-33=0 are concurrent, is

Options

  1. A20
  2. B-7
  3. C7
  4. D-20

Correct answer

B. -7

Step-by-step solution

Since, the lines aligned & 2 x-3 y+k=0,3 x-4 y-13=0 & and 8 x-11 y-33=0 & are concurrent & | array ccc 2 & -3 & k 3 & -4 & -13 8 & -11 & -33 array |=0 & 2(132-143)+3(-99+104) & +k(-33+32)=0 & -22+15-k=0 & k=-7 & aligned

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