A line meets the co-ordinate axes in A & B. A circle is circumscribed about the triangle…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

A line meets the co-ordinate axes in A & B. A circle is circumscribed about the triangle OAB. If d1 and d2 are the distances of the tangent to the circle at the origin O from the points A and B respectively, the diameter of the circle is:
  1. \(\frac{2 \mathrm{~d}_{1}+\mathrm{d}_{2}}{2}\)
  2. \(\frac{\mathrm{d}_{1}+2 \mathrm{~d}_{2}}{2}\)
  3. d1 + d2
  4. \(\frac{\mathrm{d}_{1} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{2}}\)

Answer

(C) d 1 + d 2

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