PA x PB = PC x PD - Multiple choice questions -

in a Circle , if 2 chords AB and CD intersect at a Point P inside the circle, then

 PAx PB = PC x PD

 20 multiple choice questions

 based on this theorem with answers

 Question 1

If AB and CD intersect at point P inside a circle, and PA = 3, PB = 4, PC = 2, then PD equals:

a) 4

b) 6

c) 8

d) 12

Answer: b) 6

 Question 2

If PA = 5, PB = 5, PC = 3, and PD = x, find x.

a) 7

b) 8.33

c) 25

d) 25/3

Answer: d) 25/3

 Question 3

Given PA = 7, PB = 2, PC = 1, and PD = x, what is x?

a) 1

b) 2

c) 3

d) 14

Answer: d) 14

 Question 4

In a circle, AB and CD intersect at P. If PA = 9, PB = 4, PC = 6, what is PD?

a) 3

b) 6

c) 9

d) 12

Answer: b) 6

 Question 5

If PA = 10, PB = 3, PC = 5, and PD = x, find x.

a) 6

b) 5

c) 8

d) 3

Answer: a) 6

 Question 6

If PA = 8, PB = 4, PC = 2, then PD equals:

a) 8

b) 16

c) 4

d) 2

Answer: b) 16

 Question 7

Given PA = 12, PB = 6, PC = 3, what is PD?

a) 2

b) 3

c) 4

d) 6

Answer: d) 6

 Question 8

If PA = 11, PB = 5, PC = 4, then PD equals:

a) 8

b) 13.75

c) 16

d) 20

Answer: b) 13.75

 Question 9

If PA = 3, PB = 9, PC = 7, and PD = x, find x.

a) 3

b) 4

c) 7

d) 9

Answer: b) 4

 Question 10

In a circle, AB and CD intersect at P. If PA = 15, PB = 3, PC = 5, what is PD?

a) 3

b) 6

c) 9

d) 15

Answer: c) 9

 Question 11

Given PA = 2, PB = 8, PC = 4, then PD equals:

a) 2

b) 4

c) 8

d) 16

Answer: b) 4

 Question 12

If PA = 6, PB = 6, PC = 9, and PD = x, what is x?

a) 4

b) 6

c) 3

d) 12

Answer: c) 4

 Question 13

If PA = 5, PB = 7, PC = 1, what is PD?

a) 7

b) 10

c) 5

d) 35

Answer: d) 35

 Question 14

Given PA = 9, PB = 5, PC = 3, then PD equals:

a) 15

b) 6

c) 7

d) 8

Answer: a) 15

 Question 15

If PA = 4, PB = 10, PC = 2, what is PD?

a) 5

b) 10

c) 20

d) 15

Answer: c) 20

 Question 16

In a circle, AB and CD intersect at P. If PA = 7, PB = 3, PC = 5, what is PD?

a) 4.2

b) 3

c) 7

d) 1.5

Answer: a) 4.2

 Question 17

If PA = 8, PB = 2, PC = 1, then PD equals:

a) 4

b) 8

c) 2

d) 16

Answer: d) 16

 Question 18

Given PA = 6, PB = 5, PC = 4, what is PD?

a) 7.5

b) 6

c) 8

d) 7

Answer: a) 7.5

 Question 19

If PA = 3, PB = 6, PC = 2, what is PD?

a) 4

b) 9

c) 6

d) 12

Answer: b) 9

 Question 20

If PA = 5, PB = 3, PC = 10, what is PD?

a) 6

b) 2

c) 15

d) 1.5

Answer: d) 1.5