Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleOrthocentre, pedal triangle basedMedium2 minQB
MathematicsMediumsingle choice

In acute triangle ABC, O is the circumcenter, and D on the interior of BC approaches C. Find the limiting circumradius of triangle OCD.

Options:

Answer:
A
Solution:

Write the circumradius of OCD as . By the sine rule, OC=R=sin. As D approaches C, sin approaches cos A, so approaches R/(2cos A).

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based
⏱ 2mℹ️ Source: QB

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