2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Angles in Alternate Segments
Two tangent s...
Question
Two tangent segments BC, BD are drawn to a circle C (O, r) such that
∠
D
B
C
=
120
0
. then
B
O
=
B
C
.
A
True
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
False
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
B
False
Given,
∠
D
B
C
=
120
∘
we got two angle
O
B
C
AND
O
B
D
∠
O
D
B
=
∠
O
C
B
(A Tangent drawn is perpendicular to the radius)
Applying pythagoras theorme
We get
O
B
2
=
O
C
2
+
C
B
2
,
O
B
2
=
O
D
2
+
B
D
2
⟹
O
B
=
2
B
D
OR
⟹
O
B
=
2
B
C
Suggest Corrections
0
Similar questions
Q.
Two tangent segments BC, BD are drawn to a circle C (0, r) such that
∠
DBC = 120
o
. Prove that BO = 2BC.
Q.
If from an external point B of a circle with centre O, two tangents BC and BD are drawn such that
∠
D
B
C
=
120
0
prove that BC+BD=BO, i.e, BO=2BC.
Q.
Question 4
If from an external point B of a circle with centre O, two tangents BC and BD are drawn such that
∠
DBC =
120
∘
, prove that BC+BD=BO i.e BO = 2BC.
Q.
Two tangent segments BC and BD are drawn to a circle with centre O, such that ∠CBD = 120°. Prove that OB = 2BC.