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The diagonals of a quadrilateral ABCD in...

The diagonals of a quadrilateral ABCD intersect each other at the point O such that `(A O)/(B O)=(C O)/(D O)`. Show that ABCD is a trapezium.

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EF||CD
In`/_ACD`
ED||DC
`(AE)/(ED)=(AD)/(OC)`
`(AD)/(OC)=(BO)/(OD)`
`(AE)/(ED)=(BO)/(OD)`
In `/_ABD`
`EO||AB`
...
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