If x2 – 4x + Log1/2 a Does Not Have Two Distinct Roots, Then The Maximum Value Of a

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Question

If x2 – 4x + log1/2 a does not have two distinct roots, then the maximum value of a

Solution

Correct option is

1/16

A quadratic equation does not have two distinct real root means either its roots are equal or imaginary ∴ Δ ≤ 0

 

   

    

Hence the maximum value of a is 1/16.

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