jee_main_2025_02_april_evening - Relations and Functions Topics

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Sample Questions in this Chapter

QUESTION #54 Relations
Let A = 1, 2, 3, , 100 and R be a relation on A such that R = (a, b) : a = 2b + 1. Let (a₁, a₂), (a₂, a₃), (a₃, a₄), , (ak, ak+1) be a sequence of k elements of R such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer k, for which such a sequence exists, is equal to:
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QUESTION #62 Domain of a Function
If the domain of the function f(x) = 1√(10 + 3x - x²) + 1√(x + |x|) is (a, b), then (1 + a)² + b² is equal to:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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