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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

can be resolved into linear rational factors. Then

Answer: (C)

Solution

Write the expression in the standard form Ax^2+2Hxy+By^2+2Gx+2Fy+C:

A=a, B=-a, H=, G=, F=0, C=λ .

A second-degree expression splits into linear factors only if

Δ=ABC+2FGH---=0 .

Here a^2$

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Question ID VK-108028