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AP EAMCET2001MathematicsStraight Lines

A B C D is a parallelogram, with A C, B D as diagonals, then A C - B D is equal to

Options

  1. A4 A B
  2. BA B
  3. C3 A B
  4. D2 A B

Correct answer

D. 2 A B

Step-by-step solution

In A B C A C = A B + B C and in A B D A D = A B + B D z B C = A B + B D ( A D = B C ) ( ii ) From Eqs. (i) and (ii) aligned & A C = A B + A B + B D & A C = B D =2 A B aligned

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