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MHT CET2012MathematicsParabola

The equation of directrix is to the parabola 4 x²-4 x-2 y+3=0 will be

Options

  1. A2 y=1
  2. B2 x=1
  3. C2 y=3
  4. D2 x=3

Correct answer

A. 2 y=1

Step-by-step solution

Given parabola, 4 x²-4 x-2 y+3=0 4 (x²-x )=2 y-3 4 (x²-x+ 1 4 - 1 4 )=2 y-3 (x- 1 2 )²=2 y-2 (x- 1 2 )²=2(y-1) which is of the form X²=4 a Y where, X=x- 1 2 and Y=y-1 and a= 1 2 Directrix, Y+a=0 y-1+ 1 2 =0 y- 1 2 =0 2 y=1

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