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AP EAMCET · Maths · Straight Lines

The straight line \(x+y+1=0\) bisects an angle between a pair of lines, of which one is \(2 x-3 y+4=0\). Then the equation of the other line in that pair is

  1. A \(2 x+3 y+4=0\)
  2. B \(x-y+1=0\)
  3. C \(5 x-5 y+9=0\)
  4. D \(3 x-2 y+5=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3 x-2 y+5=0\)

Step-by-step Solution

Detailed explanation

Point of intersection of lines \(x+y+1=0\) and \[ 2 x-3 y+4=0 \text { is } A\left(-\frac{7}{5}, \frac{2}{5}\right) \text {. } \] Now, Let a point \(P(-2,0)\) on the line \(2 x-3 y+4=0\) and the image of point \(P(-2,0)\) w.r.t. line \(x+y+1=0\) lying on the other line in the…