Through the vertex O of the parabola y 2 = 4ax two chords OP & OQ are drawn and the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Through the vertex O of the parabola y2 = 4ax two chords OP & OQ are drawn and the circles on OP & OQ as diameter intersect in R. If θ1 , θ2 & φ are the angles made with the axis by the tangents at P & Q on the parabola & by OR then cot θ1 + cot θ2 is equal to
  1. –2 tan φ
  2. – 2 tan (πφ)
  3. 0
  4. 2 cot φ

Answer

(A) –2 tan φ

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