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In , a line through points on and on is parallel to . Which of the following…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, a line through points
D
D
D
on
A
B
AB
A
B
and
E
E
E
on
A
C
AC
A
C
is parallel to
B
C
BC
B
C
. Which of the following relations is always true? (a)
D
B
A
B
=
A
E
E
C
\dfrac{DB}{AB}=\dfrac{AE}{EC}
A
B
D
B
=
E
C
A
E
(b)
A
D
D
B
=
A
E
A
C
\dfrac{AD}{DB}=\dfrac{AE}{AC}
D
B
A
D
=
A
C
A
E
(c)
A
D
D
B
=
A
E
E
C
\dfrac{AD}{DB}=\dfrac{AE}{EC}
D
B
A
D
=
E
C
A
E
(d)
A
D
A
B
=
A
E
E
C
\dfrac{AD}{AB}=\dfrac{AE}{EC}
A
B
A
D
=
E
C
A
E
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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