Find the condition that the pair of straight lines joining the origin to the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Find the condition that the pair of straight lines joining the origin to the intersections of the line y = mx + c and the circle x2 + y2 = a2 may be at right angles.
  1. 2a2 = c2 (1 + m2)
  2. 2a2 = c2 (1 – m2)
  3. 2c2 = a2 (1 + m2)
  4. 2c2 = a2 (1 – m2)

Answer

(C) 2c 2 = a 2 (1 + m 2 )

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