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ISI Entrance Examination
2020 ISI Entrance Examination
3
3
Part of
2020 ISI Entrance Examination
Problems
(1)
ISI 2020 : Problem 3
Source: B.Stat & B.Math Entrance Exam 2020
9/20/2020
Let
A
A
A
and
B
B
B
be variable points on
x
−
x-
x
−
axis and
y
−
y-
y
−
axis respectively such that the line segment
A
B
AB
A
B
is in the first quadrant and of a fixed length
2
d
2d
2
d
. Let
C
C
C
be the mid-point of
A
B
AB
A
B
and
P
P
P
be a point such that(a)
P
P
P
and the origin are on the opposite sides of
A
B
AB
A
B
and,(b)
P
C
PC
PC
is a line segment of length
d
d
d
which is perpendicular to
A
B
AB
A
B
.Find the locus of
P
P
P
.
isi
2020