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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

If for some , 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 discriminant is , so a real root needs , and the root is then \frac{q(p+r)}{p^2+q^2}\frac$

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Question ID VK-014321