Let and be the roots of the equation x^2-ax-bx+ab-c=0. What is the quadratic equation whose roots are a and b?

NDA 2022 Mathematics question

Let and be the roots of the equation . What is the quadratic equation whose roots are and ?

Answer: (A)

The given equation is , and since its roots are : identically. So $(x-a)(x-b) =

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Question ID VK-029309