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JEE Advanced2011MathematicsParabolaActual

Let L be a normal to the parabola y^2=4 x . If L passes through the point (9,6) , then L is given by

Options

  1. Ay-x+3=0
  2. By+3 x-33=0
  3. Cy+x-15=0
  4. Dy-2 x+12=0

Correct answer

A. y-x+3=0

Step-by-step solution

Normal to y^2=4 x , is y-m x-2 m-m^3 which passes through (9,6) . Now, 6=9 m-2 m-m^3 m^3-7 m+6=0 m=1,2,-3 Equation of normals are y-x+3=0y+3 x-33=0 and y-2 x+12=0

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