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Maharashtra State BoardSSC (English Medium) 10th Standard

In fig, seg DE || sec BC, identify the correct statement.

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Question

In fig, seg DE || sec BC, identify the correct statement.

Options

  • `(AD)/(DB) = (AE)/(AC)`

  • `(AD)/(DB) = (AB)/(AC)`

  • `(AD)/(DB) = (EC)/(AC)`

  • `(AD)/(DB) = (AE)/(EC)`

MCQ
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Solution

`bb((AD)/(DB) = (AE)/(EC))`

Explanation:

In ΔABC,

seg DE || sec BC   ...(Given)

∴ By Basic proportionality theorem,

`(AD)/(DB) = (AE)/(EC)`

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