182
PROGRAM SHEET
Program for
Circle and Tangents
Description
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.
No.
4
0
X
Y
A
(x',y')
r
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
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