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NEST2020MathematicsStraight Lines

Denote Area ( X Y Z), P( X Y Z) and |X Y| by area of the triangle X Y Z , perimeter of the triangle X Y Z and length of the line segment X Y respectively. Let A B C D be a convex quadrangle and the diagonals A C and B D intersect at 0 . Then

Options

  1. AArea ( ABO ) Area ( CDO )= Area ( BCO ) Area ( ADO )
  2. BP ( ABO )+ P ( CDO )= P ( BCO )+ P ( ADO ) if | AB |+| CD |=| BC |+ AD
  3. CP ( ABO ) P ( CDO )= P ( BCO ) P ( ADO )
  4. DArea ( ABO )+ Area ( CDO )= Area ( BCO )+ Area ( ADO ) if one diagonal is bisected by the other diagonal

Correct answer

D. Area ( ABO )+ Area ( CDO )= Area ( BCO )+ Area ( ADO ) if one diagonal is bisected by the other diagonal

Step-by-step solution

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