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AP EAMCET202017 Sep 2020Evening ShiftMathematicsStraight LinesActual

A light ray emerging from a point source at (A(2,3) ) is reflected on the (Y )-axis at point ' (B ) ' and passes through point (C(5,10) ), then the coordinates of ' (B ) ' are

Options

  1. A((5,0) )
  2. B((0,5) )
  3. C((0,2) )
  4. D((2,0) )

Correct answer

B. ((0,5) )

Step-by-step solution

Let point of reflection is ((0, y) ) then, by law of reflection, Angle of incidence (= ) Angle of reflection ( = (- ) ) As angles are measured in opposite directions. ( aligned & m₁=-m₂ & y-3 -2 = y-10 5 aligned ) ( array rrr & 5 y-15 & =-2 y+20 & 7 y & =35, y=5 array ) So, point is ((0,5) ).

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