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jee_main_2025_04_april_evening - Relations and Functions Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #54 Types of Relations
Let mathrmA = \-3, -2, -1, 0, 1, 2, 3\ and mathrmR be a relation on mathrmA defined by mathrmxRy if and only if 2mathrmx - mathrmy in \0, 1\. Let l be the number of elements in mathrmR. Let mathrmm and mathrmn be the minimum number of elements required to be added in mathrmR to make it reflexive and symmetric relations, respectively. Then l + mathrmmn is equal to:
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QUESTION #58 Domain of Functions
Let the domains of the functions f (x) = log_ 4 log_ 3 log_ 7 (8 - log_ 2 (x ^ 2 + 4 x + 5)) and g (x) = sin^ - 1 left(frac 7 x + 1 0x - 2right) be (alpha , beta) and [ gamma , delta ], respectively. Then alpha^ 2 + beta^ 2 + gamma^ 2 + delta^ 2 is equal to :-
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