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AP EAMCET202125 Aug 2021Evening ShiftMathematicsStraight LinesActual

Find the value of k, if the line joining the points (2, k) and (3, 7) is parallel to the line joining points (− 2,1) and (3, 0).

Options

  1. A37 5
  2. B34 5
  3. C36 5
  4. D35 5

Correct answer

C. 36 5

Step-by-step solution

array ll A B | C D & & m_ A B =m_ C D & 7-k 3-2 = 0-1 3+2 array 7-k= -1 5 35 − 5k = − 1 5k = 36 k = 36 / 5

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