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JEE Exam  >  JEE Test  >  Chapter-wise Tests Main & Advanced  >  Test: Properties And Applications Of Determinants - JEE MCQ

Properties And Applications Of Determinants - Free MCQ Practice Test


MCQ Practice Test & Solutions: Test: Properties And Applications Of Determinants (5 Questions)

You can prepare effectively for JEE Chapter-wise Tests for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Properties And Applications Of Determinants". These 5 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 5

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Test: Properties And Applications Of Determinants - Question 1
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Points (a,a,c),(1,0,1) and (c,c,b) are collinear if​

Detailed Solution: Question 1

 a(-c) - a(b-c) + c(c) = 0
 - ac - ab + ac + c2 = 0
c2 = ab

Test: Properties And Applications Of Determinants - Question 2
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If A is a square matrix of order 3 and |A| = 7 then |AT| =​

Detailed Solution: Question 2

The determinant of a square matrix is the same as the determinant of its transpose.

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Test: Properties And Applications Of Determinants - Question 3
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The value of determinant  ​

Detailed Solution: Question 3

Value of the determinant
= 2×(7×2 − 4×3) − 1×(14×2 − 4×6) + 6×(14×3 − 7×6)
= 2×(14 − 12) − (28 − 24) + 6×(42 − 42)
= 2×2 − 4 + 6×0
= 4 − 4 + 0
= 0

Test: Properties And Applications Of Determinants - Question 4
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If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​

Detailed Solution: Question 4

Test: Properties And Applications Of Determinants - Question 5
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If A is square matrix of order 3 and |A| = 7 then |AT| = ______​

Detailed Solution: Question 5

The determinant of a square matrix is the same as the determinant of its transpose. Therefore |A’| = 7

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About this JEE Practice Test

This test contains 5 MCQs on Properties And Applications Of Determinants with detailed solutions for each question. It is part of the Chapter-wise Tests for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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