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Worksheets

TANGENT LINE AND FUNCTION

Total questions: 20

Worksheet time: 4hrs 1mins

Name
Class
Date
1.

The radii of two circle are 5 cm and 3 cm, respectively. The distance between their centers is 10 cm. The length of the internal tangent line to both circles is ....

a)

6 cm

b)

8 cm

c)

15 cm

d)

18 cm

2.

The distance between the centers of two circles 17 cm, while the length of the internal tangent line is 15 cm. The radius of one of the circle is 3 cm, the radius of the other circle is ....

a)

3 cm

b)

5 cm

c)

6 cm

d)

9 cm

3.

The radii of two circle are 10 cm and 2 cm, respectively while the distance between their centers is 17 cm. The length of the external tangent line to both circles is ....

a)

9 cm

b)

12 cm

c)

15 cm

d)

20 cm

4.

The radii of two circles are 14 cm and 5 cm. The length of the external tangent line is 12 cm. The distance between their centers is ....

a)

13 cm

b)

14 cm

c)

15 cm

d)

16 cm

5.

The radii of the two circles centered at P and Q are 6 cm and 3 cm, respectively. The distance from P to Q is 15 cm. The length of the internal tangent line to both circle is ....

a)

12 cm

b)

15 cm

c)

21 cm

d)

25 cm

6.

The radii of two circles are 22 cm and 4 cm, respectively. The length of the external tangent line is 24 cm. The distance between the centers of the two circles is ...cm

a)

10

b)

20

c)

30

d)

40

7.

The distance between the centers of two circles is 25 cm, and the radius of the first circle is 15 cm. The length of the external tangent line is 24 cm, the radius of the second circles is ... cm

a)

11

b)

10

c)

9

d)

8

8.

The figure shows a cross section of 6 pipes each of which has a diameter of 24 cm. The length of the string required to tie 6 pipes together is ....

a)

291.36 cm

b)

269.91 cm

c)

219.63 cm

d)

219.36 cm

9.

The figure shows a cross section of 6 pipes each of which has a radius of 35 cm. The length of the string required to tie 6 pipes together is ....

a)

640 cm

b)

604 cm

c)

460 cm

d)

406 cm

10.

The area of PROQ is ....

a)

12 cm2

b)

120 cm2

c)

1200 cm2

d)

12.000 cm2

11.

P= (3,4,5) and Q =(1,2,3,4,5,6,7). The set of ordered pairs which expresses the relation "is two more than" from the set of P to the set of Q is ....

a)

(3,2),(4,2),(5,2)

b)

(3,4),(4,5),(5,6)

c)

(3,1),(4,2), (5,3)

d)

(3,5),(4,6),(5,7)

12.

Let:

P=(x I 11 < x < 23, x is prime number)

Q=(y I 4 < y2 < 25, y is a natural number

The number of all possible ways mapping from the set p to the set q is ....

a)

6

b)

8

c)

9

d)

16

13.

a function is defined by x \rightarrow   12\frac{1}{2}  (5 - x), with (-3,-1,1,3,5) as its domain. The range of the function is ....

a)

(0,1,2,3,4)

b)

(0,2,4,6,8)

c)

(0,-1,-2,-3,-4)

d)

(0, -2, - 4, -6, -8)

14.

for a function define by f:x \rightarrow   3  2x23\ -\ 2x^2  , the image of -2 is ....

a)

-11

b)

-5

c)

5

d)

11

15.

let f(x) = x2 - 5n. if f(5) = 10 then n = ....

a)

-7

b)

-3

c)

3

d)

7

16.

a function h is define by thr formula h(x) = px + q. If h(4) = -28 and h(-5) = 26. then h(-12) = ....

a)

-16

b)

12

c)

40

d)

68

17.

for the function g : x \rightarrow  px + q, g(3) = 5 and g(1) = -3. The function formula is ....

a)

4x - 7

b)

-4x + 7

c)

4x + 7

d)

-4x - 7

18.

Relation or function can be expressed , except ....

a)

arrow diagram

b)

diagram value

c)

Cartesian diagram

d)

sets of ordered pairs

19.

Range of the arrow diagram above is ....

a)

1,2,3

b)

a,b

c)

a

d)

a,b,c

20.

A function formula is y=f(x) = 2x - 1 has (-1,0,1,2,3) as its domain. The range is ....

a)

(-1,0,1,2,3)

b)

(-1,0,1,3,5)

c)

(-3,0,1,3,5)

d)

(-3,-1,1,3,5)