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The equation of the line passing through the point of intersection of the lines x-3 y+2=0 and 2 x+5 y-7=0 and perpendicular to the line 3 x+2 y+5=0 is :

Options

  1. A2 x-3 y+1=0
  2. B6 x-9 y+11=0
  3. C2 x-3 y+5=0
  4. D3 x-2 y+1=0

Correct answer

A. 2 x-3 y+1=0

Step-by-step solution

The equation of lines are x-3 y+2=0 ...(i) and 2 x+5 y-7=0 ...(ii) On solving Eqs. (i) and (ii), we get x=1, y=1 The co-ordinates of a point of intersection of given lines are (1,1) . The equation of line perpendicular to 3 x+2 y+5=0 is 2 x-3 y+ =0 . Which passes through (1,1) . 2-3+ =0 =1 Required equation of line is 2 x-3 y+1=0

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