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 $5 b=$

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Aicharya · Accepted Answer

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 $P, x=0, y=b \Rightarrow 0+5 b=13 \Rightarrow 5 b=13$ $\Rightarrow 5 b=13+0=a+13$.

A ray of light passing through the point $(2,3)$ reflects on $Y$-axis at a point $P$. If the reflected ray…

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