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`alpha , beta ` are roots of the equation `lambda(x^(2)-x)+x+5=0.` If `lambda_1 and lambda_2` are the two values of ` lambda ` for which the roots ` alpha , beta ` are connected b the relation `(alpha )/(beta)+(beta)/(alpha)=4`, then the value of `(lambda_1)/(lambda_2)+(lambda_2)/(lambda_1)` is :

A

150

B

254

C

180

D

1022

Text Solution

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The correct Answer is:
D
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