AP EAMCET · Maths · Straight Lines
A ray of light incident along a line, meets another line \(7 x-y+1=0\) at the point \((0,1)\) and it is then reflected from this point along the line \(y+2 x=1\). Then the equation of the line of incidence of the ray of light is
- A \(41 x-25 y+25=0\)
- B \(41 x+38 y+38=0\)
- C \(41 x-38 y+38=0\)
- D \(41 x+25 y-25=0\)
Answer & Solution
Correct Answer
(A) \(41 x-25 y+25=0\)
Step-by-step Solution
Detailed explanation
Let the slope of incident ray be \(\mathrm{m}\) \(\therefore\) Angle of incidence \(=\) angle of reflection \(\Rightarrow\left|\frac{m-7}{1-7 m}\right|=\left|\frac{-2-7}{1-14}\right|=\frac{9}{13}\) \(\Rightarrow \frac{m-7}{1-7 m}= \pm \frac{9}{13}\)…
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