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Properties of Triangle

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OtherProperties of TriangleSubjectiveHard
Q10.Let ABCABC and PQRPQR be any two triangles in the same plane. Assume that the perpendiculars from the points A,B,CA,B,C to the sides QR,RP,PQQR,RP,PQ respectively are concurrent. Using vector methods or otherwise, prove that the perpendiculars from P,Q,RP,Q,R to BC,CA,ABBC,CA,AB respectively are also concurrent.
Subjective / proof problem — work it out in the Scratchpad, then reveal the solution.
citeIIT-JEE Mains 2000 — Mathematics
2000id · 348082a7
Subjective — no options to pick