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COMEDK2024MathematicsStraight Lines

The distance between the point (1,2) from the line 3 x+4 y=6 measured parallel to the line 3 x-4 y=5 .

Options

  1. A5
  2. B5 3
  3. C3 5
  4. D5 3

Correct answer

D. 5 3

Step-by-step solution

Perpendicular distance of point (1,2) to the line 3 x+4 y=6 is = | 3 1+4 2-6 9+16 |= 5 5 =1 Slope of line 3 x-4 y=5 is 3 4 . aligned & = 3 4 & = 3 5 aligned From above figure = 1 d array ll & 3 5 = 1 d & d= 5 3 array

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