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Given : $$x+\frac{1}{x}=6$$
Squaring both sides
= $$(x+\frac{1}{x})^2=(6)^2$$
= $$(x)^2+(\frac{1}{x})^2+(2.x.\frac{1}{x})=36$$
=> $$x^2+\frac{1}{x^2}=36-2=34$$
=> Ans - (C)
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