AP EAMCET · Maths · Straight Lines
A ray of light passing through the point \((2,3)\) reflects on \(Y\)-axis at a point \(P\). If the reflected ray passes through the point \((3,2)\) and \(\mathrm{P}=(a, b)\) then \(5 b=\)
- A \(a-5\)
- B \(a-13\)
- C \(a+13\)
- D \(a+5\)
Answer & Solution
Correct Answer
(C) \(a+13\)
Step-by-step Solution
Detailed explanation
Since, \(P(a, b)=(0, b)\) From fig, now, equation of line passing through \((-2,3)\) and \((3,2)\) is \(y-3=\frac{2-3}{3+2}(x+2)=x+5 y=13\) For point \(P, x=0, y=b \Rightarrow 0+5 b=13 \Rightarrow 5 b=13\) \(\Rightarrow 5 b=13+0=a+13\).
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