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Class 12 Mathematics — Chapter 4: Determinants
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 4 (Determinants). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
Area of triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃):
A.(1/2)|x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|✓ correct
B.Sum of coordinates
C.x₁y₁ + x₂y₂
D.Half perimeter
Why
Determinant form.
Q2Medium
det([[1, 0, 0], [0, 2, 0], [0, 0, 3]]) =
A.6✓ correct
B.5
C.1
D.3
Why
Diagonal product.
Q3Hard
det([[a, b, c], [b, c, a], [c, a, b]]) factors as:
A.−(a + b + c)(a² + b² + c² − ab − bc − ca)✓ correct
B.abc
C.a² + b² + c²
D.(a + b + c)³
Why
Standard factorisation.
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