MathDB
Problems
Contests
National and Regional Contests
Canada Contests
Canadian Open Math Challenge
1997 Canadian Open Math Challenge
9
9
Part of
1997 Canadian Open Math Challenge
Problems
(1)
COMC 1997 #9
Source:
6/8/2017
The straight line
l
1
l_{1}
l
1
with equation
x
−
2
y
+
10
=
0
x-2y+10 = 0
x
−
2
y
+
10
=
0
meets the circle with equation
x
2
+
y
2
=
100
x^2 + y^2 = 100
x
2
+
y
2
=
100
at B in the fi rst quadrant. A line through B, perpendicular to
l
1
l_{1}
l
1
cuts the y-axis at P (0, t). Determine the value of
t
t
t
.