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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

Let and then

Answer: (A),(B)

Solution

Let , (constants). Then , , , , and

g(x) = (1+a+ + x(2x + a) + 2 = (3+a+ + ax + 2.

So and . The defining conditions give

a = g'(1) = 2(3+a+b) + a ⇒ 3 + a + b = 0,

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Question ID VK-109247