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locus of the circumcentre of variable triangle having sides x = 0 , y = 2 and lx + my = 1 where (l , m) lies on

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 31E

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Question

If the locus of the circumcentre of variable triangle having sides x = 0 , y = 2 and lx + my = 1 where (l , m) lies on the Parabola y^2=4ax is a curve 'C' then
The curve 'C' is symmetric about the line _

(a)x=3/2

(b)y=-3/2

(c)x=-3/2

(d)y=3/2

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