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Straight Lines and Pair of Straight Lines question

2003 · Shift 0 · Q110

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JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2003 · Shift 0 · Q110

Straight Lines and Pair of Straight Lines question

2003 · Shift 0 · Q110

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

Locus of centroid of the triangle whose vertices are

\left( {a\cos t,a\sin t} \right),\left( {b\sin t, - b\cos t} \right)

and

\left( {1,0} \right),

where

t

is a parameter, is :

A
${\left( {3x + 1} \right)^2} + {\left( {3y} \right)^2} = {a^2} - {b^2}$
B
${\left( {3x - 1} \right)^2} + {\left( {3y} \right)^2} = {a^2} - {b^2}$
C
${\left( {3x - 1} \right)^2} + {\left( {3y} \right)^2} = {a^2} + {b^2}$
D
${\left( {3x + 1} \right)^2} + {\left( {3y} \right)^2} = {a^2} + {b^2}$

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