A variable line cuts -axis at , -axis at

MATHEMATICS · Multi-part · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A variable line cuts

X

-axis at

A

Y

-axis at

B

, where

OA = a

OB = b

(

O

as origin) such that

a^2 + b^2 = 1

. Find the locus of (i) centroid of

\Delta OAB

(ii) circumcentre of

\Delta OAB