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AP EAMCET2013MathematicsStraight Lines

If the points (1,2) and (3,4) lie on the same side of the straight line 3 x-5 y+a=0 , then a lies in the set

Options

  1. A[7,11]
  2. BR -[7,11]
  3. C[7, )
  4. D(- , 11]

Correct answer

A. [7,11]

Step-by-step solution

Since, the points (1,2) and (3,4) lie on the same side of the line 3 x-5 y+a=0 array lrrlrl & & 3(1)-5(2)+a & 0 & or & 0 & a-7 & 0 & or 0 & a & 7 & or & a 7 and & & 3(3)-5(4)+a & 0 & or 0 & a-11 & 0 & or 0 & & a & 11 or & a 11 array So, common condition is [7,11] .

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