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AP EAMCET202422 May 2024Morning ShiftMathematicsParabolaActual

If the normal chord drawn at (2 a, 2 a 2 ) on the parabola y^2=4 a x subtends an angle at its vertex, then =

Options

  1. A45^
  2. B90^
  3. C135^
  4. D60^

Correct answer

B. 90^

Step-by-step solution

Normal chord is drawn at P(2 a, 2 a 2 ) Let P Q be a normal chord normal at P to the parabola Co-ordinates of Q=(8 a,-4 a 2 ) Vertex =S(0,0) Slope of S P Slope of S Q= 2 a 2 2 a -4 a 2 8 a =-1 Thus, =90^ .

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