pls tell fast : point of intersection of diagonals of a quadrilateral

1.	pls tell fast : point of intersection of diagonals of a quadrilateral divides one of the diagonals in the ratio 11 gm .Can it be a parallelogram ? Justify.
Answer» $\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$ Let ABCD be the QUADRILATERAL in which AC and BD are the DIAGONALS that intersect at O. Now, AO/OC = 1/2 We know that diagonals of a PARALLELOGRAM bisect eah other. So, for ABCD to be a parallelogram, AO/OC = 11 But here AO/OC = 1/2. So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.

pls tell fast : point of intersection of diagonals of a quadrilateral divides one of the diagonals in the ratio 11 gm .Can it be a parallelogram ? Justify.

Answer»

Let ABCD be the QUADRILATERAL in which AC and BD are the DIAGONALS that intersect at O.

Now, AO/OC = 1/2

We know that diagonals of a PARALLELOGRAM bisect eah other.

So, for ABCD to be a parallelogram,

AO/OC = 11

But here AO/OC = 1/2.

So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.