Mathematics - Pair of Lines
Practise 2 JEE Advanced previous year questions on Pair of Lines, compiled from papers spanning 2008 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.
Pair of Lines has been asked in 2 of the 27 years of JEE Advanced papers analysed (2000–2026), with 2 questions in all. 0% of them were easy, 50% moderate and 50% tough. Most of its questions came from 2025, with 1 question that year. In the last three years (2024–2026) it had 1 question across 6 papers, about 0.2 per paper.
The chapter's 2 topics are not weighted equally: Condition for 2nd degree equationto represent pair of straight lines (1 question, 50%) and general equation of second degree (1 question, 50%) have been asked the most. Over the last five years the most frequent topics have been general equation of second degree (1). general equation of second degree has produced the most tough questions (1).
- 1Let denote the locus of the point of intersection of the pair of lines where varies over the set of non-zero real numbers. Let be the tangen2025 (Paper 2)general equation of second degree
- 2Let and be non-zero and real numbers. Then, the equation represents2008 (Paper 1)Condition for 2nd degree equationto represent pair of straight lines
Frequently Asked Questions
1.How many questions are available for Pair of Lines?
This chapter includes 2 questions compiled from JEE Advanced papers spanning 2008 to 2025.
2.Are these questions only from JEE Advanced, or from other exams too?
These are JEE Advanced questions specifically for the Pair of Lines chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Pair of Lines an important chapter for JEE Advanced Mathematics?
Pair of Lines has appeared in 2 of the 21 years of JEE Advanced papers covered here, with 2 questions across 2 papers - about one per paper it appears in.
4.What is the difficulty level of Pair of Lines questions in JEE Advanced?
Of the 2 questions analysed for this chapter, 0% are easy, 50% moderate and 50% tough. 2025 had the most, with 1 question.
5.Which topics in Pair of Lines should I focus on?
These topics have carried the most weightage in Pair of Lines:
- Condition for 2nd degree equationto represent pair of straight lines - 1 question (50%)
- general equation of second degree - 1 question (50%)
- general equation of second degree has produced the most tough questions (1).
6.Is Pair of Lines's weightage in JEE Advanced going up or down?
Across all 2 papers analysed, Pair of Lines has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.