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Straight Lines and Pair of Straight Lines question

2004 · Shift 0 · Q108

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JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2004 · Shift 0 · Q108

Straight Lines and Pair of Straight Lines question

2004 · Shift 0 · Q108

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

Let

A\left( {2, - 3} \right)

and

B\left( {-2, 1} \right)

be vertices of a triangle

ABC

. If the centroid of this triangle moves on the line

2x + 3y = 1

, then the locus of the vertex

C

is the line :

A
$3x - 2y = 3$
B
$2x - 3y = 7$
C
$3x + 2y = 5$
D
$2x + 3y = 9$

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