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Maharashtra State BoardSSC (English Medium) 10th Standard

In fig, seg DE || sec BC, identify the correct statement. - Geometry Mathematics 2

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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

`"AD"/"DB" = "AE"/"EC"`

Explanation:

In ΔABC,

seg DE || sec BC   ...(Given)

∴ By Basic proportionality theorem,

`"AD"/"DB" = "AE"/"EC"`.

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