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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaHard2 minPYQ_2020
MathematicsHardsingle choice

The set of all real valuesλfor which the functionfx=1-cos2x. λ+sin x,  -π2, π2, has exactly one maxima and exactly one minima, is :

Options:

Answer:
D
Solution:

fx=sin2xλ+sinx

f'x=sinxcosx2λ+3sinx

sinx=0

(one point)

sinx=-2λ3-1,1-0    .....(1)

λ-32,32-0

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima
2mℹ️ Source: PYQ_2020

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