JEE Main 2022 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2022

If for some p, q, r R, not all have same sign, one of the roots of the equation is also a root of the equation , then is equal to .

Answer: 272

Solution

The roots of are 2 and −4. Substituting x = 2 in the first equation gives , so q = 2p and r = 4p, which makes p, q, r all of

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Question ID VK-025184