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Solve using modulus function definition.

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Important Questions on Functions, Equations and Inequalities
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Find the maximum value of , also find the value of for which is maximum.

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The solution of the inequality is

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The set of all satisfying the inequality is

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The equation will be always true for , belonging to

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The number of pairs satisfying the equation and is

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If a matrix is filled with 's and 's such that the sum of each row and column of the matrix is , then the absolute value of its determinant is

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If are any real numbers, then

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If the solution set of the inequality is , then the value of is equal to

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The set of real values of for which the inequality always holds good is

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The area bounded by the curves and is equal to

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The value of for which is

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If , then the complete set of values of is

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The product and sum of the roots of the equation are respectively

HARD
The minimum value of is:

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The number of real roots of is

MEDIUM
Let are four functions, where is the integral function of . Then, the number of solutions of the equation, is
