a ray of light is coming along the line y = b from the positive direction of the x-axis and strikes a concave mirror , whose intersection with the xy-plane is a parabola y2 = 4ax . find the equation of the reflected ray and show that it passes through the focus of the parabola. both a and b are positive.
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1 Answers
383The light ray meet parabola at a point (b24a,b)
Now find out the slop of the tangent through the point.
using it find out the slop of reflected ray [M= -4ab4a2-b2]
the equation of the reflected ray (y-b)(4a2-b2)= -b(4ax-b2)
which exactly passes through the focus (a,0)
Somrwita Mondal thnxUpvote·0· Reply ·2012-10-12 09:45:48