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Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationTheory of equationsHard2 minPYQ_2023
MathematicsHardnumerical

Letλand let the equationEbe|x|2-2|x|+|λ-3|=0. Then the largest element in the setS={x+λ:xis an integer solution ofE}is ______

Answer:
5.00
Solution:

Given:

|x|2-2|x|+|λ-3|=0

|λ-3|=x2-x

At λ=3x=0 and 2,

At λ=4 or 2, then,

x=1 or -1

So, maximum value of x+λ=5 when x=1 and λ=4.

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Theory of equations
2mℹ️ Source: PYQ_2023

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