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Question

In Δ ABC, if DE BC, then which of the following is stated by Basic Proportionality Theorem?


A
ADDB=AEEC
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B
ABDB=AEEC
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C
ADDB=ACEC
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D
ABDB=ECAC
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Solution

The correct option is A ADDB=AEEC
Basic Proportionality Theorem says that if DE BC, the ratio in which point D divides AB is the same as the ratio in which point E divides AC.

The ratio in which D divides AB is given by ADDB. Similarly, the ratio in which E divides AC is given by AEEC
ADDB=AEEC

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