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Manipal MET2011MathematicsStraight Lines

The ratio in which the line 3 x+4 y+2=0 divides the distance between 3 x+4 y+5=0 and 3 x+4 y-5=0 , is

Options

  1. A7: 3
  2. B3: 7
  3. C2: 3
  4. DNone of the above

Correct answer

B. 3: 7

Step-by-step solution

Since, the lines 3 x+4 y+2=0 and 3 x+4 y+5=0 are on the same side of the origin. The distance between these lines is 5-2=3 . And the line 3 x+4 y+2=0 and 3 x+4 y-5=0 are opposite side of the origin, The distance between these lies is 7 . Hence, required ratio is 3: 7 .

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