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General
Easy

Question

Distance between the two parallel lines y equals 2 x plus 7and y equals 2 x plus 5 is

  1. fraction numerator square root of 5 over denominator 2 end fraction    
  2. fraction numerator 2 over denominator 5 end fraction    
  3. fraction numerator 2 over denominator square root of 5 end fraction    
  4. fraction numerator 1 over denominator square root of 5 end fraction    

The correct answer is: fraction numerator 2 over denominator square root of 5 end fraction


    Given lines are 2 x minus y plus 7 equals 0 and A B equals 2 A D equals 2 square root of 81 minus 9 end root equals 2 square root of 72 equals 12 square root of 2
    Both the lines are on same side of origin.
    Distnace between two parallel lines = fraction numerator 7 minus 5 over denominator square root of 2 to the power of 2 end exponent plus 1 to the power of 2 end exponent end root end fraction equals fraction numerator 2 over denominator square root of 5 end fraction.

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