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UPSC CDS 2 2019 Math Paper

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Question : 5

Total: 100

Let two lines p and be parallel. Consider two points B and C on the line p and two points D and E on the line q. The line through B and E intersects the line through C and D at A in between the two lines p and q. If A C : AD = 4 :9 , then what is the ratio of area of triangle ABC to that of triangle ADE ?

2 : 3
4 : 9
16 :81
1 : 2

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