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JEE Advanced Mathematics question

MathematicsTrigonometric EquationsJEE Advanced

Not in JEE Main syllabus

The set of values of such that the equation admits of a solution for is

Answer: (D)

Solution

With : , i.e.

k=g(c)=1-c-=Missing argument for \tfrac\tfrac98-2(c+Missing argument for \tfrac\tfrac, c.

is a downward parabola with vertex at : maximum . At the ends and , so the minimum is . Being continuous, takes

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Question ID VK-108508