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In , points and lie on and respectively such that . Which one of the following…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, points
S
S
S
and
T
T
T
lie on
P
Q
PQ
P
Q
and
P
R
PR
P
R
respectively such that
S
T
∥
Q
R
ST \parallel QR
S
T
∥
QR
. Which one of the following equalities is always true? (a)
P
S
S
Q
=
P
R
R
Q
\dfrac{PS}{SQ}=\dfrac{PR}{RQ}
S
Q
P
S
=
R
Q
P
R
(b)
S
Q
P
S
=
P
T
T
R
\dfrac{SQ}{PS}=\dfrac{PT}{TR}
P
S
S
Q
=
T
R
P
T
(c)
P
S
S
Q
=
P
T
T
R
\dfrac{PS}{SQ}=\dfrac{PT}{TR}
S
Q
P
S
=
T
R
P
T
(d)
P
S
P
T
=
S
Q
P
R
\dfrac{PS}{PT}=\dfrac{SQ}{PR}
P
T
P
S
=
P
R
S
Q
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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