If b^2 4ac for the equation ax^4+bx^2+c=0, then all the roots of the equation will be real positive of

JEE Main Mathematics question

If for the equation , then all the roots of the equation will be real positive of

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

Answer: (B)

Solution

With the equation is with real roots (as ); is real iff both values of are non-negative, which needs sum and product . Option (B) (, , ) gives sum and product , so both are positive and all four roots

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Question ID VK-013484