jee_main_2026_28_january_evening - Relations and Functions Topics

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Sample Questions in this Chapter

QUESTION #8 One-One and Many-One Functions
Given below are two statements: Statement I: The function f: R arrow R defined by f(x) = (x)/(1 + |x|) is one-one. Statement II: The function f: R arrow R defined by f(x) = x² + 4x - 30x² - 8x + 18 is many-one. In the light of the above statements, choose the correct answer from the options given below :
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QUESTION #15 Signum Function Properties
The sum of all the elements in the range of f(x) = Sgn( x) + Sgn( x) + Sgn( x) + Sgn( x), x ≠ (nπ)/(2), n in Z, where Sgn(t) = cases 1, & if t > 0 -1 & if t < 0 cases, is
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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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