If the equation x^2-2x+3=0 has positive roots for some real then

JEE Advanced Mathematics question

If the equation has positive roots for some real then

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

Read "has positive roots" as "all its roots are positive". - ** (quadratic):** real roots need , i.e. . Both roots are positive iff the sum and the product , i.e. . So . -

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Question ID VK-110109