Theorem of Internal and External Division of Chords

Q.

Find the value of $x$ in the diagram below.

1. $12$

2. $3$

3. $9$

4. $20$

Q.

Find the value of x in the diagram below.

1. 3

2. 9

3. 12

4. 20

Q.

Diameter AB and a chord CD intersect internally at P. If PA = 8, PB = 2, then PC =

1. 5

2. 2

3. 3

4. 4

Q.

Find the value of $x$ in the diagram below.

1. $20$

2. $3$

3. $9$

4. $12$

Q. If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then find the value of CD.

Q.

Find the value of $x$ in the diagram below.

1. 20

2. 3

3. 12

4. 9

Q.

In the figure given below, PAB is a secant and PR is a tangent to the circle. If PA : AB = 1 : 8, and PR = 15 cm, find the length of PB. [3 Marks]

Q.

If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then CD =

1. 4.3

2. 4

3. 1.5

4. 1.3