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ABCD is a trapezium in which AB||DC and...

ABCD is a trapezium in which AB||DC and its diagonals intersect each other at the point O. Show that `(A O)/(B O)=(C O)/(D O)`.

Text Solution

Verified by Experts

`In/_ACD`
EO||DC
`(AE)/(ED)=(AO)/(OC)`-(1)
`In/_BCD`
OF||DC
`(BO)/(OD)=(BF)/(FC)`
`In/_ADB`
EO||AB
...
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