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AP EAMCET202123 Aug 2021Evening ShiftMathematicsStraight LinesActual

The distance between the lines 3 x+4 y=9 and 6 x+8 y=15 is

Options

  1. A3 2
  2. B3 10
  3. C6
  4. D3 5

Correct answer

B. 3 10

Step-by-step solution

To find, distance between the lines 3 x+4 y=9 and 6 x+8 y=15 , since we know that distance between the lines a x+b y+c₁=0 and a x+b y+c₂=0 d= | c₁-c₂ a^2+b^2 | Here lines are 3 x+4 y-9=0 and 3 x+4 y- 15 2 =0 d= | 15 / 2-9 3^2+4^2 | aligned & d= | 15-18 2 5 | & d= 3 10 units aligned

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