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AP EAMCET202022 Sep 2020Morning ShiftMathematicsParabolaActual

If the line y=2 x+k is normal to the parabola y^2=4 x , then k=

Options

  1. A-10
  2. B10
  3. C12
  4. D–12

Correct answer

D. –12

Step-by-step solution

Since, equation of normal to the parabola y^2=4 a x having slope m is y=m x-2 a m-a m^3 . So, equation of normal to the parabola y^2=4 x is y=2 x+k Therefore, aligned k & =-2(1)(2)-(1)(2)^3 & =-4-8=-12 aligned Hence, option (4) is correct.

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