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AP EAMCET2007MathematicsStraight Lines

The angle between the line joining the points (1,-2),(3,2) and the line x+2 y-7=0 is

Options

  1. A/ 2
  2. B/ 3
  3. C/ 6

Correct answer

B. / 3

Step-by-step solution

Given the line joining the points (1,-2)(3,2) and x+2 y-7=0 . Slope of the lines are m₁= 2+2 3-1 =2 and m₂=- 1 2 Now, m₁ m₂=2 -1 2 =-1 Lines are perpendicular, so angle is 2 .

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