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COMEDK2014MathematicsStraight Lines

The angle between lines 3 x+y=1 and x+ 3 y=1 is

Options

  1. A6
  2. B3 4
  3. C5 2
  4. D3

Correct answer

A. 6

Step-by-step solution

Given, equations of lines are 3 x+y=1 ...(i) and x+ 3 y=1 ...(ii) Let m₁ and m₂ be slopes of Eqs. (i) and (ii), then m₁=- 3 , m₂=- 1 3 Let be angle between them, then aligned & = | m₁-m₂ 1+m₁ m₂ |= | - 3 + 1 3 1+ 3 1 3 |= | -3+1 2 3 |= 1 3 & = 6 aligned

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