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Q.

The roots of  x223x+2=0  represents two sides of a triangle. If the angle between them is  π3  and its perimeters is  K3+6  then  K=_______

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answer is 2.

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Detailed Solution

a+b=23,ab=2    (ab)2=(a+b)24ab   ab=2 a=3+1,b=31   c2=a2+b22abcosc  c=6 Perimeter   =a+b+c   =23+6   

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The roots of  x2−23x+2=0  represents two sides of a triangle. If the angle between them is  π3  and its perimeters is  K3+6  then  K=_______