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AP EAMCET2011MathematicsParabola

If the straight line y=m x+c is parallel to the axis of the parabola y^2=l x and intersects the parabola at ( c^2 8 , c ) , then the length of the latusrectum is

Options

  1. A2
  2. B3
  3. C4
  4. D8

Correct answer

D. 8

Step-by-step solution

Here, length of latusrectum =l Since, point ( c^2 8 , c ) is the point of intersection of parabola and the line y=m x+c then it will satisfy the equations. array cc & y^2=l x & (c)^2= l c^2 8 l=8 array Length of latusrectum (l)=8

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