Statement 1: If both roots of the equation 4x^2-2x+a=0, a R lie in the interval (-1,1), then -2 0 and f(1)>0 -2<a 14.

JEE Main Mathematics question

Statement 1: If both roots of the equation , lie in the interval , then . Statement 2: If , then , and .

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

gives ; gives ; gives ; the axis already lies in . Together the conditions give ,

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Question ID VK-013750