If the centroid of the triangle formed by the lines \( 2 y^{2}+5 x ...

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If the centroid of the triangle formed by the lines \( 2 y^{2}+5 x y-3 x^{2}=0 \) and \( x+y=k \) is \( (1 / 18,11 / 18) \) then the value of \( k \) is
(a) \( -1 \)
(b) 0
(c) 1
(d) none of these
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