Circle And Tangents - Casio CFX-9850G PLUS Program Manual

Program for

Circle and Tangents

Description
With this program, slope
x' y'
point A ( , ) and are tangent to a circle with a radius of
out the coordinates at the points of tangency, and factor zoom is used to enlarge the graph.
Example
To determine
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 occurs when
• 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.
A
B
C
D
E
F
G
418
PROGRAM SHEET
Y
r
0
m
and intercept
m b
and for the following values:
r x'
= .
H
I
J
K
L
M
N
Formula for circle:
A
Formula for tangent line passing
(x',y')
through point A (
X
b y' mx'
(= – ) are obtained for lines drawn from
r
. The trace function is used to read
O
P
Q
R
S
T
U
No.
4
x 2 y 2 r 2
+ =
x' y'
, ):
y y' m x x'
– = ( – )
m
* represents the slope of
the tangent line
V
W
X
Y
Z