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Program for
Description
PROGRAM SHEET
No.
Circle and Tangents 4
0
Y r
A
( x' , y' )
X
Formula for circle: x 2 + y 2 = r 2
Formula for tangent line passing through point A ( x' , y' ): y – y' = m ( x – x' )
* m represents the slope of the tangent line
With this program, slope m and intercept b (= y' – mx' ) are obtained for lines drawn from point
A ( x' , y' ) and are tangent to a circle with a radius of r . The trace function is used to read out the coordinates at the points of tangency, and factor zoom is used to enlarge the graph.
Example
To determine m and b for the following values: r = 1 x' = 3 y' = 2
Notes
• The point plotted for A cannot be moved. Even if it is moved on the graph, the calculation is performed using the original value.
• An error (Ma ERROR) occurs when r = x' .
• Be sure to always perform a trace operation whenever you select trace and the message
TRACE is on the display.
Preparation and operation
• Store the program written on the next page.
• Execute the program as shown below.
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F
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382
No.
4
Line Program
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File name
1
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Prog
2
3
4
5
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Prog
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6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
X
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Plot
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M
→
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383
No.
4
Line
38
39
40
41
35
36
37
42
43
44
Prog
S
Graph Y=
Goto
Lbl
Graph Y=
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=
N
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M
Prog
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3
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File name
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View
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File name
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)
384
4
5
2
3
Program for
Step
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Key Operation
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No.
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Display
385
9
10
7
8
Program for
Step
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Key Operation
6
No.
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Display
386
13
14
15
Program for
Step
Circle and Tangents
Key Operation
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No.
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Display
12
387
17
18
Program for
Step
Circle and Tangents
Key Operation
16
No.
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Display
388
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