MathDB
Problems
Contests
National and Regional Contests
India Contests
ISI B.Math Entrance Exam
2009 ISI B.Math Entrance Exam
4
find min(x^2+y^2)
find min(x^2+y^2)
Source: ISI(BM) 2009 #4
April 11, 2012
trigonometry
algebra proposed
algebra
Problem Statement
Find the values of
x
,
y
x,y
x
,
y
for which
x
2
+
y
2
x^2+y^2
x
2
+
y
2
takes the minimum value where
(
x
+
5
)
2
+
(
y
ā
12
)
2
=
14
(x+5)^2+(y-12)^2=14
(
x
+
5
)
2
+
(
y
ā
12
)
2
=
14
.
Back to Problems
View on AoPS