The quadratic equation x^2-2x- =0, 0,

JEE Advanced Mathematics question

The quadratic equation , ,

(A)cannot have a real root if Correct
(B)can have a rational root if is a perfect square
(C)cannot have an integral root if where Correct
(D)none of these

Answer: (A),(C)

Solution

. - (a) ✔ no real root. - (b) ✘ Roots are , rational iff is a perfect square. If ( a nonzero integer), would need , impossible for . So a (nonzero) perfect-square

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Question ID VK-108025