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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

The equations and have one and only one root common. Then

Answer: (A),(B),(C)

Solution

; similarly the second has roots . If both roots are common, so . Exactly one common root means

-b+1=-a-1\ \ (⇒ a-b=-2) or

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Question ID VK-108022