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If a>3 and A,B,C are variable angles of △ABC, such that √2a2−9cotA+2acotB+√2a2+9cotC=12a, then the minimum value of cot2A+cot2B+cot2C=

Answer» If a>3 and A,B,C are variable angles of ABC, such that 2a29cotA+2acotB+2a2+9cotC=12a, then the minimum value of cot2A+cot2B+cot2C=


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