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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

Let and be roots of the equation , and let and be the roots of the equation . If are in arithmetic progression then

Answer: (B),(C),(D)

Solution

Let (). Then

p+q=2p+d=2, r+s=2p+5d=18 .

Subtracting: $4d=16⇒

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Question ID VK-108024