BITSAT SERIES
Mathematics

Properties Of Determinants

17 previous year questions.

Volume: 17 Ques
Yield: Medium

High-Yield Trend

1
2021
2
2020
1
2019
1
2018
1
2017
2
2016
2
2015
1
2014
1
2013
2
2012
1
2011
1
2010
1
2009

Chapter Questions
17 MCQs

01
PYQ 2009
medium
mathematics ID: bitsat-2
If are all positive and are the and terms of a geometric progression respectively, then the value of the determinant equals
1
2
3
4
0
02
PYQ 2010
medium
mathematics ID: bitsat-2
The value of vmatrix 1 & 2 & 3
-4 & 3 & 6
2 & -7 & 9 vmatrix is
1
213
2
-231
3
231
4
39
03
PYQ 2011
medium
mathematics ID: bitsat-2
If A=bmatrix2&0&0
2&2&0
2&2&2bmatrix, then det(adj A) is equal to:
1
8bmatrix1&0&0
1&1&0
1&1&1bmatrix
2
16bmatrix1&0&0
1&1&0
1&1&1bmatrix
3
64bmatrix1&0&0
1&1&0
1&1&1bmatrix
4
None of these
04
PYQ 2012
medium
mathematics ID: bitsat-2
The value of the determinant is
1
1000
2
779
3
679
4
0
05
PYQ 2012
medium
mathematics ID: bitsat-2
The value of the determinant is:
1
1000
2
779
3
679
4
0
06
PYQ 2013
medium
mathematics ID: bitsat-2
The determinant vanishes for
1
3 values of
2
1 value of
3
2 values of
4
No value of
07
PYQ 2014
medium
mathematics ID: bitsat-2
If then the value of is
1

2

3

4
08
PYQ 2015
medium
mathematics ID: bitsat-2
Let be a non-singular matrix with . If , then the value of is
1
1
2
3
4
09
PYQ 2015
medium
mathematics ID: bitsat-2
Let be a non-singular matrix with . If , then the value of is
1

2

3

4
10
PYQ 2016
medium
mathematics ID: bitsat-2
If denotes the greatest integer less than or equal to , and , then the value of the determinant


is
1

2

3

4
None of these
11
PYQ 2016
medium
mathematics ID: bitsat-2
If the matrix beginpmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endpmatrix is singular, then λ=
1

2

3

4
-4
12
PYQ 2017
medium
mathematics ID: bitsat-2

If

,


then the value of is

1
0
2
1
3
2
4
4pqr
13
PYQ 2018
medium
mathematics ID: bitsat-2
If are complex numbers, and

then is:
1
purely real
2
purely imaginary
3
complex
4
0
14
PYQ 2019
medium
mathematics ID: bitsat-2
Let M be a 3×3 non-singular matrix with det(M)=α. If |M⁴operatornameadj(M)|=K, then the value of K is
1

2

3

4
α³
15
PYQ 2020
medium
mathematics ID: bitsat-2
If [x] denotes the greatest integer ≤ x and -1≤ x<0, 0≤ y<1, 1≤ z<2, then the value of the determinant beginvmatrix [x]+1 & [y] & [z]
[x] & [y]+1 & [z]
[x] & [y] & [z]+1 endvmatrix is
1

2

3

4
None of these
16
PYQ 2020
medium
mathematics ID: bitsat-2
If the matrix beginbmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endbmatrix is singular, then λ=
1

2

3

4
-4
17
PYQ 2021
medium
mathematics ID: bitsat-2
If beginvmatrix p & q-y & r-z
p-x & q & r-z
p-x & q-y & r endvmatrix=0, then the value of (p)/(x)+(q)/(y)+(r)/(z) is
1
0
2
1
3
2
4
4pqr

About Properties Of Determinants - BITSAT

Properties Of Determinants is a vital chapter for BITSAT aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Properties Of Determinants PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

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