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Manipal MET2013MathematicsStraight Lines

The number of rational values of m for which the y -coordinate of the point of intersection of the lines 3 x+2 y=10 and a=m y+2 is an integer is

Options

  1. A2
  2. B4
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

From the given equation, 3(m y+2)+2 y=0 y(3 m+2)=4 y= 4 3 m+2 , since, y l 3 m+2 1, 2, 4 m=-1,- 1 3 ,- 4 3 , 0, 2 3 ,-2

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