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In , a line meets at and at such that . Which of the following is…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, a line meets
P
Q
PQ
P
Q
at
S
S
S
and
P
R
PR
P
R
at
T
T
T
such that
P
S
:
S
Q
=
P
T
:
T
R
=
2
:
3
PS:SQ = PT:TR = 2:3
P
S
:
S
Q
=
P
T
:
T
R
=
2
:
3
. Which of the following is true? (a)
S
T
∥
P
R
ST \parallel PR
S
T
∥
P
R
(b) No relation about parallelism can be concluded (c)
S
T
∥
Q
R
ST \parallel QR
S
T
∥
QR
(d)
S
T
∥
P
Q
ST \parallel PQ
S
T
∥
P
Q
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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