WB JEE 2018 | Sets and Relations Question 30 | Mathematics

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WB JEE 2018

MCQ (Single Correct Answer)

-0.25

On the set R of real numbers, the relation $$\rho $$ is defined by x$$\rho $$y, (x, y) $$ \in $$ R.

If | x $$-$$ y | < 2, then $$\rho $$ is reflexive but neither symmetric nor transitive.

If x $$-$$ y < 2, then $$\rho $$ is reflexive and symmetric but not transitive.

If | x | $$ \ge $$ y, then $$\rho $$ is reflexive and transitive but not symmetric

If x > | y |, then $$\rho $$ is transitive but neither reflexive nor symmetric.

WB JEE 2018

MCQ (Single Correct Answer)

-0.5

Let $$\rho $$ be a relation defined on N, the set of natural numbers, as

$$\rho $$ = {(x, y) $$ \in $$ N $$ \times $$ N : 2x + y = 41}. Then

$$\rho $$ is an equivalence relzation.

$$\rho $$ is only reflexive relation

$$\rho $$ is only symmetric relation

$$\rho $$ is not transitive

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is

reflexive but not symmetric

symmetric but not reflexive

transitive but not reflexive

reflexive and symmetric but not transitive

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,

$$\rho$$ is reflexive and transitive but not symmetric

$$\rho$$ is reflexive and symmetric but not transitive

$$\rho$$ is symmetric and transitive but not reflexive

$$\rho$$ is equivalence relation

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WB JEE Subjects

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure Redox Reaction Gaseous State Chemical Equilibrium Liquid Solution Ionic Equilibrium Thermodynamics Chemical Kinetics Radioactivity and Nuclear Chemistry Electrochemistry Solid State Surface Chemistry

Inorganic Chemistry

Periodic Table Chemical Bonding Metallurgy Hydrogen and It's Compounds Some s Block Elements Some P Block Elements d and f Block Elements Coordination Compounds

Organic Chemistry

IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Halogen Derivatives Alcohol and Ether Aldehyde and Ketone Aromatic Chemistry Carbonyl Compounds Carboxylic Acids and Amines Polymers Biomolecules Practical Chemistry Chemistry In Everyday Life

Mathematics

Algebra

Logarithms Sequence and Series Quadratic Equations Complex Numbers Permutations and Combinations Mathematical Induction and Binomial Theorem Matrices and Determinants Vector Algebra Three Dimensional Geometry Probability Statistics Sets and Relations

Trigonometry

Properties of Triangle Inverse Trigonometric Functions Trigonometric Functions & Equations

Coordinate Geometry

Straight Lines and Pair of Straight Lines Circle Parabola Ellipse and Hyperbola

Calculus

Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integrals Definite Integration Application of Integration Differential Equations