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Byju's Answer
Standard IX
Mathematics
Line Segment That Subtends Equal Angles at Two Other Points
Two circles w...
Question
Two circles with centres
M
and
N
intersect each other at
P
and
Q
.
The tangents drawn from point
R
on the line
P
Q
touch the circles at
S
and
T
Prove that,
R
S
=
R
T
.
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Solution
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.
In a circle
m
tangent
r
s
=
r
q
(as they originate from same point...........1)
In circle
n
r
q
=
r
t
.
.
.
.
.
.
.
.
.
.
(
2
)
form
(
1
)
and
(
2
)
r
s
=
r
t
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Similar questions
Q.
In the given figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P, Q. Prove that,
∠
P
R
Q
+
∠
P
S
Q
=
180
o
Q.
In the given figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P, Q.
Prove that, ∠ PRQ + ∠ PSQ = 180°