MathDB

ISI 2020 : Problem 3

Source: B.Stat & B.Math Entrance Exam 2020

September 20, 2020

isi2020

Problem Statement

Let

A

and

B

be variable points on

x-

axis and

y-

axis respectively such that the line segment

AB

is in the first quadrant and of a fixed length

2d

. Let

C

be the mid-point of

AB

and

P

be a point such that
(a)

P

and the origin are on the opposite sides of

AB

and,
(b)

PC

is a line segment of length

d

which is perpendicular to

AB

.
Find the locus of

P

.

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