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Question

In the following figure, seg ABseg CD. Diagonals AC and BD intersect at point O. If AO:OC=1:3, then A(AOB)A(ABD)=?

615266_d3c6526dd3ee460eb1300fafe138f582.png

A
14
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B
19
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C
16
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D
116
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Solution

The correct option is C 14
If AO:AC:1:3
AreaofAOBAreaofBOC=13
Let Area of AOB=x
Area of BOC=3x
Area of (ABC)=4x
Area ABC=ABD=4x
AreaofAOBAreaofABD=x4x=14.
Hence, option A is correct.

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