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A light ray emerging from the point source placed at $\mathrm{P(2,3)}$ is reflected at a point $\mathrm{ ' Q '}$ on the y-axis and then passes through the point $\mathrm{R(5,10).}$ Coordinate of $\mathrm{' Q '}$ is -

Option: 1
$(0,3)$

Option: 2
$(0,2)$

Option: 3
$(0,5)$

Option: 4
$\text{None of these}$

Answers (1)

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If $\mathrm{P} 1$ be the reflection of $\mathrm{P}$ in y-axis then $\mathrm{\mathrm{P} 1 \equiv(-2,3)}$

Equation of line $\mathrm{P_1 R}$ is $\mathrm{(y-3)=\frac{10-3}{5+2}(x+2)}$
$\mathrm{\Rightarrow y=x+5}$ . It meets y-axis at $\mathrm{(0,5) \Rightarrow Q \equiv(0,5)}$

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