Q.

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 pointR(5, 10) . Coordinates of Q are

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a

(0,3)

b

(0,2)

c

(0,5)

d

(0,−2)

answer is C.

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Detailed Solution

If P1 be the reflection of P in y-axis , then  P1≡(−2,3) Equation of line P1R is (y−3)=10−35+2(x+2)                                               ⇒y=x+5 It meets the y-axis at (0, 5) ⇒Q≡(0,5)
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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 pointR(5, 10) . Coordinates of Q are