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Byju's Answer
Standard X
Mathematics
Tangent Secant Segments Theorem
In the given ...
Question
In the given figure, PS is a tangent and line PR is a secant to the circle. If PQ = 4.9 cm and QR = 5.1 cm, find the value of PS .
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Solution
P
S
2
=
P
Q
×
P
R
...(Tangent secant segments theorem)
P
S
2
=
P
Q
×
(
P
Q
+
Q
R
)
= 4.9 (4.9 + 5.1)
= 4.9 x 10 = 49
∴
P
S
=
7
c
m
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