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COMEDK · Maths · 10. Straight Lines

The ratio in which the line \(3 x+4 y+2=0\) divides the distance between the lines \(3 x+4 y+5=0\) and \(3 x+4 y-5=0\) is

  1. A 1 : 2
  2. B 3 : 7
  3. C 2 : 5
  4. D 2 : 3
Verified Solution

Answer & Solution

Correct Answer

(B) 3 : 7

Step-by-step Solution

Detailed explanation

The given lines are parallel, represented by the equations \(3x + 4y + 5 = 0\), \(3x + 4y + 2 = 0\), and \(3x + 4y - 5 = 0\). Let the lines be \(L_1: 3x + 4y + 5 = 0\), \(L_2: 3x + 4y + 2 = 0\), and \(L_3: 3x + 4y - 5 = 0\). The distance between two parallel lines…