Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In a circle with centre
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
, chord
A
B
AB
A
B
subtends an angle of
(
5
x
−
10
)
∘
(5x - 10)^{\circ}
(
5
x
−
10
)
∘
at the centre while chord
C
D
CD
C
D
subtends an angle of
(
3
x
+
50
)
∘
(3x + 50)^{\circ}
(
3
x
+
50
)
∘
. If
A
B
AB
A
B
is longer than
C
D
CD
C
D
, find the range of possible values of
x
x
x
.
Related theory
Linear Inequalities
Chord Properties
Circles
Angle subtended by a chord
Browse the problem library