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Solution


Q.

If one root of the equation 5x² – 13x + k = 0 is reciprocal of the other, then k =

1 0  
2 5  
3 6  
4 1/6  

Ans.

(2)

Given quadratic equation: 5x² – 13x + k = 0. Since one root is reciprocal of the other,

Product of roots = 1  ⇒  c/a = 1  ⇒  c = a  ⇒  k = 5