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AP EAMCET · Maths · Straight Lines

If the straight line 2x+3y+1=0 bisects the angle between a pair of lines, one of which in this pair is 3x+2y+4=0. Then, the equation of the other line in that pair of lines is

  1. A 3x+4y-9=0
  2. B 6x-7y-14=0
  3. C 9x+46y-28=0
  4. D 9x-23y-12=0
Verified Solution

Answer & Solution

Correct Answer

(C) 9x+46y-28=0

Step-by-step Solution

Detailed explanation

Equation of required line is the image of 3x+2y+4=0 w.r.t. to the line 2x+3y+1=0 i.e., a2+b2lx+my+n-2la+mbax+by+c=0  ...i Here, a=2, b=3 and l=3, m=2 & n=4 Substituting these values in i, we get 9x+46y-28=0.