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AP EAMCET202123 Aug 2021Evening ShiftMathematicsStraight LinesActual

The angle between the straight lines 3 x+4 y+9=0 and x-7 y-22=0 is

Options

  1. A4
  2. B6
  3. C3
  4. D8

Correct answer

A. 4

Step-by-step solution

Given, straight lines are l₁: 3 x+4 y+9=0 ...(i) l₂: x-7 y-22=0 ...(ii) Slope of line l₁= - Coefficient of x Coefficient of y m₁= -3 4 Slope of line l₂= -1 -7 m₂= 1 7 Let be the angle between lines l₁ and l₂ . = | m₁-m₂ 1+m₁ m₂ | aligned & = | -3 4 - 1 7 1+ ( -3 4 ) ( 1 7 ) | & = | -25 28 28 25 | aligned =1 = 4

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