Q1MathsUnit 3: Matrices and Determinants
When the base of a triangle is increased by and the altitude to this base is
decreased by , the change in area is
Mathematics · JEE
Area of triangles using determinants Concepts for JEE
3+ syllabus-aligned questions available
Quick answer
Master Area of triangles using determinants by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.
Build clear conceptual foundations for Area of triangles using determinants before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.
Concept explainer
Area of triangles using determinants is a core JEE Main Mathematics subtopic under Matrices and Determinants. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.
Key points
- Understand the definition and scope of Area of triangles using determinants in the JEE syllabus
- Memorise key formulas and standard results linked to Area of triangles using determinants
- Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
JEE tips
- Revise Area of triangles using determinants with a one-page formula sheet before attempting mixed tests
- After each practice set, log mistakes specific to Area of triangles using determinants and reattempt after 48 hours
Common trap
Students often rush Area of triangles using determinants questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.
Syllabus context
Part of Matrices and Determinants in JEE Main Mathematics.
- Matrices, algebra of matrices, type of matrices
- Determinants and matrices of order two and three
- Evaluation of determinants
- Area of triangles using determinants
- Adjoint and inverse of a square matrix
- Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
Free sample questions
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Q2MathsUnit 3: Matrices and Determinants
The perimeters of two similar triangles is in the ratio The sum of their
areas is 75 sq. cm. Find the area of each triangle in sq. cm.
Q3MathsUnit 3: Matrices and Determinants
OPQR is a square and are the
middle points of the sides and
respectively, then the ratio of the areas of the square and the is
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Popular questions in Area of triangles using determinants
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- OPQR is a square and \( M, N \) are the middle points of the sides \( P Q \) and \( Q R \) respectively, then the ratio …
- When the base of a triangle is increased by \( 10 \% \) and the altitude to this base is decreased by \( 10 \% \), the c…
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