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KCET2024MathematicsParabola

The equation of parabola whose focus is (6,0) and directrix is x=-6 is

Options

  1. Ay^2=24 x
  2. By^2=-24 x
  3. Cx^2=24 y
  4. Dx^2=-24 y

Correct answer

A. y^2=24 x

Step-by-step solution

Focus has positive x -coordinate. So, coordinate of focus =(a, 0) (6,0) a=6 ....(i) Hence, equation of parabola is y^2=24 x [ y^2=4 a x . and using Eq. (i) ]

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