AP EAMCET · Maths · Straight Lines
If a particle moving along \(x-2 y-3=0\) gets reflected in a perpendicular direction upon hitting the line \(3 x-2 y-5=0\), then the line of the movement of the particle after reflection is
- A \(2 x+y+1=0\)
- B \(2 x+y-1=0\)
- C \(2 \mathrm{x}+\mathrm{y}-3=0\)
- D \(2 x+y+3=0\)
Answer & Solution
Correct Answer
(B) \(2 x+y-1=0\)
Step-by-step Solution
Detailed explanation
Given line in \(x-2 y-3=0\) which reflected by the line \(3 \mathrm{x}-2 \mathrm{y}-5=0\). Let the slope of reflected ray in \(\mathrm{m}^1\) \[ 2 \mathrm{y}=\mathrm{x}-3 \] \[ y=\frac{1}{2} x-\frac{3}{2} \] \[ \mathrm{m}_1=\frac{1}{2} \] As inclined ray and reflected ray are…
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