Mathematics - Determinants
Practise 25 MHTCET previous year questions on Determinants, compiled from papers spanning 2007 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty MHTCET tests.
Determinants has been asked in 10 of the 17 years of MHTCET papers analysed (2007–2026), with 25 questions in all. 60% of them were easy, 40% moderate and 0% tough. Most of its questions came from 2025, with 4 questions that year. In the last three years (2024–2026) it had 10 questions across 59 papers, about 0.2 per paper.
The chapter's 4 topics are not weighted equally: Expansion of Determinants (14 questions, 56%), System of Linear Equations (9 questions, 36%), and Miscellaneous (1 question, 4%) have been asked the most. Expansion of Determinants has also led over the last five years, with 10 questions.
- 1Let and , where denotes the cofactor of an element of matrix , then the value of is :20 Apr, 2026 (E)Expansion of Determinants
- 2If then the distance of point from the plane is11 Apr, 2026 (E)System of Linear Equations
- 3The lines are concurrent then are in22 Apr, 2025 (E)Expansion of Determinants
- 4If , then the value of20 Apr, 2025 (E)System of Linear Equations
- 5If \([2 { {p}}-3 { {r}} ~ { {q}} ~ { {s}}]+[3 { {p}}+2 { {q}} ~ { {r}} ~ { {s}}]= {m}[ { {p}} ~ { {r}} ~ { {s}}]+ {n}[ { {q}} ~ { {r}} ~ { {19 Apr, 2025 (M)Expansion of Determinants
- 6If , where are cofactors of respectively, then the value of19 Apr, 2025 (M)Expansion of Determinants
- 7Let and such that , then11 May, 2024 (M)System of Linear Equations
- 8If where , then the value of is10 May, 2024 (E)Expansion of Determinants
- 9For the matrix , the matrix of cofactors is09 May, 2024 (E)Expansion of Determinants
- 10Let and . If , then the value of will be02 May, 2024 (E)System of Linear Equations
- 11If , then the value of is09 May, 2023 (E)Expansion of Determinants
- 12If and is a cofactor of then the value of is equal to10 Aug, 2022 (E)Expansion of Determinants
- 13If and is a cofactor of , then the value of is equal to08 Aug, 2022 (E)Expansion of Determinants
- 14If and is a cofactor of , then is equal to05 Aug, 2022 (M)Expansion of Determinants
- 15If , then cofactors of all elements of second row are respectively.24 Sep, 2021 (M)Expansion of Determinants
- 16The sum of three numbers is 6 . Thrice the third number when added to the first number given 7 . On adding three time first number to the su22 Sep, 2021 (M)System of Linear Equations
- 17If and are cofactors of the elements of , then is equal to20 Sep, 2021 (M)Expansion of Determinants
- 18The co-factors of the elements of second column of are20 Sep, 2021 (E)Expansion of Determinants
- 19If , where and , then19 Oct, 2020 (M)System of Linear Equations
- 20If , where and , then15 Oct, 2020 (M)System of Linear Equations
- 21If , where is the cofactor of the element of matrix , then14 Oct, 2020 (M)Expansion of Determinants
- 22If A and B are square matrices of order 3 such that A = 2 , B = 4 , then A a d j B = …2019 (M)Multiplication of Determinants
- 23The value of for which the system of equations has a non-zero solution is2011System of Linear Equations
- 24For the equations and2007System of Linear Equations
- 25If the vectors , and are three non-coplanar vectors and , then the value of is2007Miscellaneous
Frequently Asked Questions
1.How many questions are available for Determinants?
This chapter includes 25 questions compiled from MHTCET papers spanning 2007 to 2026.
2.Are these questions only from MHTCET, or from other exams too?
These are MHTCET questions specifically for the Determinants chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Determinants an important chapter for MHTCET Mathematics?
Determinants has appeared in 10 of the 17 years of MHTCET papers covered here, with 25 questions across 23 papers - about one per paper it appears in.
4.What is the difficulty level of Determinants questions in MHTCET?
Of the 25 questions analysed for this chapter, 60% are easy, 40% moderate and 0% tough. 2025 had the most, with 4 questions.
5.Which topics in Determinants should I focus on?
These topics have carried the most weightage in Determinants:
- Expansion of Determinants - 14 questions (56%)
- System of Linear Equations - 9 questions (36%)
- Miscellaneous - 1 question (4%)
6.Is Determinants's weightage in MHTCET going up or down?
Across all 23 papers analysed, Determinants has averaged about 1.1 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.