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  • A light ray emerging from the point source placed at P(2, 3) is reflected at a point ‘Q’ on the y-axis and then passes through the point R (5, 10). Coordinates of ‘Q’ is

A light ray emerging from the point source placed at P(2, 3) is reflected at a point ‘Q’ on the y-axis and then passes through the point R (5, 10). Coordinates of ‘Q’ is

Option: 1

(0,3)


Option: 2

(0,2)


Option: 3

(0,5)


Option: 4

(0,1)


Answers (1)

best_answer

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

\text{Equation of line} P_{1} R$ is $(y-3)=\frac{10-3}{5+2}(x+2)
\begin{aligned} & \Rightarrow y=x+5 \text {. It meets } y \text {-axis at }(0,5) \\ & \Rightarrow Q \in(0,5) \end{aligned}


Hence (C) is the correct answer.

Posted by

Rakesh

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