Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
From an external point
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
From an external point
P
P
P
, two tangents
P
A
PA
P
A
and
P
B
PB
P
B
are drawn to a circle. If
P
A
=
4
x
−
3
PA = 4x - 3
P
A
=
4
x
−
3
and
P
B
=
2
x
+
9
PB = 2x + 9
P
B
=
2
x
+
9
(both in centimetres), find: (i) the value of
x
x
x
, (ii) the length of each tangent.
Related theory
Circles
Tangent length properties
Number of tangents from a point
Browse the problem library