Botany-
General
Easy

Question

From the focus left parenthesis negative 50 right parenthesis of the ellipse fraction numerator x to the power of 2 end exponent over denominator 45 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 20 end fraction equals 1 a ray of light is sent which makes angle c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator negative 1 over denominator square root of 5 end fraction close parentheses with the positive direction of X-axis upon reacting the ellipse the ray is reflected from it. Slope of the reflected ray is

  1. negative 3 divided by 2  
  2. negative 7 divided by 3 
  3. negative 5 divided by 4  
  4.    negative 2 divided by 11

The correct answer is:

negative 2 divided by 11


    Let
    Foci are
    Equation of line through (-5, 0) with slope –2 is
    This line meets the ellipse above X-axis at
    Slope = .

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