Let ( a)x^2+( a)x+(1- a)=0. The value of a for which roots of this equation are real and distinct, is

JEE Main Mathematics question

Let . The value of for which roots of this equation are real and distinct, is

Answer: (A)

The discriminant is ; with , this is . For : and , so the discriminant is positive iff , i.e. , so . So

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Question ID VK-013534