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AP EAMCET201824 Apr 2018Morning ShiftMathematicsVector AlgebraActual

In A B C , if D and E are the mid-points of the sides B C and C A respectively, then 2( A D + E B )=

Options

  1. A3 AB
  2. B3 2 AB
  3. C2 AB
  4. D3BC

Correct answer

A. 3 AB

Step-by-step solution

On adding Eqs. (i) and (ii), we get aligned A D + E B & = 3 2 A C + 3 2 C B & = 3 2 ( A C + C B )= 3 2 A B 2( A D + E B ) & =3 A B aligned

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