Statement 1: If both roots of the equation 2x^2-x+a=0 (a R) lies in (1,2), then -1 0, f(2)>0 yield -1<a 18.

JEE Main Mathematics question

Statement 1: If both roots of the equation lies in , then . Statement 2: If , then , , yield .

(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)

For : gives , gives and gives , so the three conditions in Statement 2 do give . Defect: these conditions omit

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Question ID VK-013748