Sets

JEE Main 2024 (Online) 29th January Evening ShiftNumericalMedium📈 Topic in 2% papers+4

Ques. 1JEE Main 2024, 29 January (Evening Shift)

Let the set C= \(x, y) x2-2y=2023, x, y N \. Then (x, y) C(x+y) is equal to .

Answer

Solution

x2=2023+2y, with 2023=4 505+3

If y 2: 4 2y x2 3 4 — impossible

an odd square leaves remainder 1 on division by 4

y=1 x2=2025 x=45

C=\(45, 1)\ (x+y)=46

Answer: 46

Keep practising — Sets

Ques. 2JEE Main 2024, 27 January (Evening Shift)

Let A and B be two finite sets with m and n elements respectively. The total number of subsets of the set A is 56 more than the total number of subsets of B. Then the distance of the point P(m,n) from the point Q(-2,-3) is :

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All JEE Main Mathematics chapters

Class 11Sets Relations and Functions Trigonometric Functions Complex Numbers and Quadratic Equations Permutations and Combinations Binomial Theorem Sequences and Series Straight Lines Conic Sections Introduction to Three Dimensional Geometry Limits and Derivatives Statistics Probability

Class 12Relations and Functions (Class 12)Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Application of Derivatives Integrals Application of Integrals Differential Equations Vector Algebra Three Dimensional Geometry Probability (Class 12)