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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

The value of for which one root of the quadratic equation is twice as large as the other, is

Answer: (D)

Solution

Let and let the roots be . Then

3α=-, 2α^2=Missing argument for \frac\frac2A\ ⇒\ α^2=Missing argument for \frac\frac1A .

Squaring the first gives . Setting the two expressions for equal:

Missing argument for \frac\frac{(3p-1)^2}{9A^

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Question ID VK-110091