JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 1 February 2024, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

The lines

L_1, L_2, \ldots, L_{20}

are distinct. For

n=1,2,3,\ldots,10

all the lines

L_{2n-1}

are parallel to each other and all the lines

L_{2n}

pass through a given point

P

. The maximum number of points of intersection of pairs of lines from the set

\{L_1, L_2, \ldots, L_{20}\}

is equal to ________.

Official answer

101

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Fundamental Counting Principle

Same idea in other shifts

Asked 13× in all

3 Apr 2025, Shift 1 · Q21If the number of seven-digit numbers, such that the sum of their digits is even, is $m \cdot n \cdot 10^n$ ;…MediumNumerical value
8 Apr 2024, Shift 1 · Q23The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetition of digits is not allowed, and which are not…MediumNumerical value
13 Apr 2023, Shift 2 · Q22Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition, is ______MediumNumerical value
26 Jul 2022, Shift 2 · Q23Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1, 2, 3, 4, 5 and 6 without repetition of…MediumNumerical value
27 Jul 2022, Shift 1 · Q28Let $S$ be the set containing all $3 \times 3$ matrices with entries from $\{-1, 0, 1\}$ . The total number of matrices $A \in S$ such that…HardNumerical value
28 Jul 2022, Shift 1 · Q21Let S be the set of all passwords which are six to eight characters long, where each character is either an alphabet from $\{A,B,C,D,E\}$ …MediumNumerical value
25 Jun 2022, Shift 1 · Q22The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is __________.HardNumerical value
25 Jun 2022, Shift 1 · Q29Let A be a $3\times3$ matrix having entries from the set $\{-1,0,1\}$ . The number of all such matrices A having sum of all the entries…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.