Suppose \alpha, \beta, \gamma are the roots of the equation x^3+q x+r=0( with r \neq 0) and they are in A.P. Then the rank of the matrix \left(\begin{array}{ccc}\alpha & \beta & \gamma \ \beta & \gamma & \alpha \ \gamma & \alpha & \beta)\end{array} is

WBJEE 2025 Math Paper

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Suppose α,β,γ are the roots of the equation x3+qx+r=0( with r≠0) and they are in A.P. Then the rank of the matrix (

) is

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