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This mock test of Test: Properties And Applications Of Determinants for JEE helps you for every JEE entrance exam.
This contains 5 Multiple Choice Questions for JEE Test: Properties And Applications Of Determinants (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Points (a,a,c),(1,0,1) and (c,c,b) are collinear if

Solution:

a(-c) - a(b-c) + c(c) = 0

- ac - ab + ac + c^{2} = 0

c^{2 }= ab

QUESTION: 2

If A is a square matrix of order 3 and |A| = 7 then |A^{T}| =

Solution:

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

QUESTION: 3

The value of determinant

Solution:

QUESTION: 4

If A is a square matrix of order 3 and |A| = 5 then |3A| = ?

Solution:

QUESTION: 5

If A is square matrix of order 3 and |A| = 7 then |A^{T}| = ______

Solution:

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

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