If one root of the equation x^2-kx+k=0 exceeds the other by 2 3 , then which one of the following is a value of k?

NDA 2025 Mathematics question

If one root of the equation exceeds the other by , then which one of the following is a value of ?

Answer: (B)

Let the roots be with . Here and . Using )^2$ =

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Question ID VK-030014