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Byju's Answer
Standard IX
Mathematics
Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.
In ΔABC, if D...
Question
In
Δ
A
B
C
, if D is a point on the side AB such that
A
B
A
D
=
3
. Find
A
D
D
B
.
A
3
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B
1
2
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C
2
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D
1
3
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Solution
The correct option is
B
1
2
A
B
A
D
=
3
⇒
A
D
+
D
B
A
D
=
3
⇒
1
+
D
B
A
D
=
3
⇒
D
B
A
D
=
2
⇒
A
D
D
B
=
1
2
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Q.
In ∆ABC, D and E are points on sides AB and AC respectively such that AD ✕ EC = AE ✕ DB. Prove that DE || BC.