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Let , and be the vertices of a triangle. Points and lie on and respectively. Which…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Let
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
12
,
0
)
B(12,0)
B
(
12
,
0
)
and
C
(
0
,
9
)
C(0,9)
C
(
0
,
9
)
be the vertices of a triangle. Points
D
(
4
,
0
)
D(4,0)
D
(
4
,
0
)
and
E
(
0
,
3
)
E(0,3)
E
(
0
,
3
)
lie on
A
B
AB
A
B
and
A
C
AC
A
C
respectively. Which statement about
D
E
DE
D
E
and
B
C
BC
B
C
is correct? (a)
D
E
⊥
B
C
DE \perp BC
D
E
⊥
B
C
(b)
D
E
DE
D
E
coincides with
B
C
BC
B
C
(c)
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
(d)
D
E
DE
D
E
is not parallel to
B
C
BC
B
C
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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