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What angle does the line segment joining (5,2) and (6,-15) subtend at (0,0) ?

Options

  1. A6
  2. B4
  3. C2
  4. D3 4

Correct answer

C. 2

Step-by-step solution

Let point A =(5,2), B =(6,-15) and O =(0,0) . Slope of line OA =m₁= 2-0 5-0 = 2 5 Slope of line OB =m₂= -15-0 6-0 = -15 6 Angle between two lines with slopes m₁ and m₂ is aligned ( ) & = m₁-m₂ 1+m₁ m₂ & = 2 5 - (- 15 6 ) 1+ 2 5 (- 15 6 ) = 2 5 + 15 6 1-1 ( ) & = = 2 aligned

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