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AP EAMCET201824 Apr 2018Morning ShiftMathematicsParabolaActual

If the double ordinate of the parabola y^2=8 x is of length 16 , then the angle subtended by it at the vertex of the parabola is

Options

  1. A2
  2. B3
  3. C3 4
  4. D4

Correct answer

A. 2

Step-by-step solution

Let A (x₁, y₁ ) and B (x₁,-y₁ ) are the co-ordinate of end points of double ordinate length of A B=2 y₁=16 A (x₁, 8 ) and B (x₁,-8 ) A and B lies on parabola. So, 64=8 x₁ x₁=8 So, coordinate of A and B are (8,8),(8,-8) aligned & = 8 8 =1 & .= 4 (Angle with X -axis made by O A ) aligned Angle subtended by double ordinate A B at vertex aligned & =2 & =2 / 4= / 2 aligned

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