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If equation x^2 tan^2 theta - (2 tan th...

If equation ` x^2 tan^2 theta - (2 tan theta ) x+1=0` and ` ((1)/(1+log_(b)ac))x^(2)+((1)/(a+log_(c)ab))x+((1)/(1+log_(a)bc)-1)=0` (where a,b,c , ` gt ` 1 ) have a common root and than 2nd equation has equal roots , then number of possible value of ` theta ` in `(0,pi)` is

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