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Let ABCD be a quadrilateral. Let the dia...

Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, `AO:OC=BO:OD`, AB = 30 cm, CD = 40 cm and the area of the quadrilateral ABCD is 1050 `"cm"^(2)`.
What is the area of the triangle ADC equal to?

A

300 `"cm"^(2)`

B

450 `"cm"^(2)`

C

600 `"cm"^(2)`

D

None of the above

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