Area of a rhombus $=$ ............

  • A
    $\frac{1}{2} \times$ product of its diagonals
  • B
    $\frac{3}{4} \times$ product of its diagonals
  • C
    $\frac{2}{5} \times$ product of its diagonals
  • D
    $\frac{3}{2} \times$ product of its diagonals

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For any convex quadrilateral $ABCD$,prove that $AB + BC + CD + DA < 2(AC + BD)$.

If $APB$ and $CQD$ are two parallel lines,then the bisectors of the angles $APQ, BPQ, CQP$ and $PQD$ form

$E$ and $F$ are points on diagonal $AC$ of a parallelogram $ABCD$ such that $AE = CF$. Show that $BFDE$ is a parallelogram.

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