AP EAMCET · Maths · Pair of Lines
If the straight line \(2 x+3 y+1=0\) bisects the angle between a pair of lines, one of which in this pair is \(3 x+2 y+4=0\), then the equation of the other line in that pair of lines is
- A \(3 x+4 y-9=0\)
- B 6x - 7 y - 14 = 0
- C 9x + 46y - 28 = 0
- D 9x - 23y - 12 = 0
Answer & Solution
Correct Answer
(C) 9x + 46y - 28 = 0
Step-by-step Solution
Detailed explanation
Let the angle bisector of \[ \begin{aligned} & 3 x+2 y+4 \text { and } \\ & y=m x+c \text { is } \\ & \quad 2 x+3 y+1=0 \end{aligned} \] Slope of line \[ \begin{aligned} & 3 x+2 y+4 \text { is } \\ & \qquad m_1=\frac{-3}{2} \end{aligned} \] Slope of line \(2 x+3 y+1=0\) is…
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