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BITSAT Determinants PYQs with Solutions

20 previous year questions from Determinants (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

20 questionsMathematics2009–2024Answers + solutions

About Determinants PYQs

Determinants has 20 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 20 questions in this list come from BITSAT (20), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

2024: 4
2022: 2
2020: 1
2019: 2
2018: 1
2016: 3
2014: 1
2013: 1
2012: 2
2010: 1
2009: 2

Determinants questions with solutions

Suppose p, q, r ≠ 0 and system of equation gathered (p+a) x+b y+c z=0 a x+(q+b) y+c z=0 gathered a x+b y+(r+c) z=0 , has a non-trivial solution, then the value of

BITSAT 2024 Solution View → 2

If x is a complex root of the equation | array ccc 1 & x & x x & 1 & x x & x & 1 array |+| array ccc 1-x & 1 & 1 1 & 1-x & 1 1 & 1 & 1-x array |=0 , then x^ 2007 +x^ -2007 =

BITSAT 2024 Solution View → 3

The equations x-y+2 z=43 x+y+4 z=6x+y+z=1 have

BITSAT 2024 Solution View → 4

If the system of linear equations 2 x+y-z=7x-3 y+2 z=1 ; x+4 y+δ z=k where δ, k ∈ ℝ has infinitely many solutions, then δ+k is equal to:

BITSAT 2024 Solution View → 5

Given 2 x-y+2 z=2, x-2 y+z=-4 , x+y+λ z=4 , then the value of λ such that the given system of equation has no solution is

BITSAT 2022 Solution View → 6

If p ≠ a, q ≠ b, r ≠ c and the system of equations aligned & p x+a y+a z=0 & b x+q y+b z=0 & c x+c y+r z=0 aligned has a non-trivial solution, then the value of

BITSAT 2022 Solution View → 7

Suppose p, q, r ≠ 0 and system of equation (p+a) x+by+cz=0a x+(q+b) y+c z=0a x+b y+(r+c) z=0 has a non-trivial solution, then value of (a)/(p)+(b)/(q)+(c)/(r) is

BITSAT 2020 Solution View → 8

If system of equation ax + y + z = a, x + by + z = b and x + y + cz = c is inconsistent, then which of the following is correct?

BITSAT 2019 Solution View → 9

Let a, b, c ∈ ^ + and the system of equations ( 1 - a ) x + y + z = 0, x + ( 1 - b ) y + z = 0 and x + y + ( 1 - c ) z = 0 has infinitely many solutions, the minimum value of abc

BITSAT 2019 Solution View → 10

If x^ 2 = | cases sinθ & cosθ & 0 - cosθ & sinθ & 1 sinθ & cosθ & 2 cases | then the value of 4x^ 2 + xsin(3π)/(2) + 5 & is

BITSAT 2018 Solution View → 11

If the matrix [ array ccc 1 & 3 & λ+2 2 & 4 & 8 3 & 5 & 10 array ] is singular, then λ=

BITSAT 2016 Solution View → 12

Let α_ 1 , α_ 2 and β_ 1 , β_ 2 be the roots of a x^ 2 +b x+c=0 and px^ 2 +qx+r=0 respectively. If the system of equations α_ 1 y+α_ 2 z=0 and β_ 1 y+β_ 2 z=0 has a non-trivial

BITSAT 2016 Solution View → 13

If [ ] denotes the greatest integer less than or equal to the real number under consideration and -1 ≤ x is

BITSAT 2016 Solution View → 14

If | array ccc p & q-y & r-z p-x & q & r-z p-x & q-y & r array |=0, then the value of (p)/(x)+(q)/(y)+(r)/(z) is

BITSAT 2014 Solution View → 15

The determinant | array ccc 1 & (x-3) & (x-3)^ 2 1 & (x-4) & (x-4)^ 2 1 & (x-5) & (x-5)^ 2 array |

BITSAT 2013 Solution View → 16

The equations 2 x+3 y+4=0 ; 3 x+4 y+6=0 and 4 x+5 y+8=0 are

BITSAT 2012 Solution View → 17

The value of the determinant | array lll 265 & 240 & 219 240 & 225 & 198 219 & 198 & 181 array | is

BITSAT 2012 Solution View → 18

If \(A= [ array ll 1 & 3 3 & 2 2 & 5 array ]\) and \(B= [ array cc - 1 & -2 0 & 5 3 & 1 array ]\) and \( A+B-D= 0\) (zero matrix), then \( D \) matrix will be -

BITSAT 2010 Solution View → 19

If \( a 0, ~b 0, c 0\) are respectively the \( pth, q \) th, rth terms of GP., then the value of the determinant \( | array lll a & p & 1 b & q & 1 c & r & 1 array |\) is

BITSAT 2009 Solution View → 20

The digits \( A, B \) and \( C \) are such that the three digit numbers \(A 88,6 ~B 8,86 C \) are divisible by 72 then the determinant \( | array ccc A & 6 & 8 8 & B & 6 8 & 8 & C

BITSAT 2009 Solution View →

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Related BITSAT Mathematics chapters

Application of Derivatives (67)Sequences and Series (51)Probability (44)Three Dimensional Geometry (40)Functions (39)Binomial Theorem (34)Permutation and Combination (31)Complex Number (30)Circle (27)Differential Equations (27)Straight Lines (27)Vector Algebra (25)

Determinants in other exams

JEE Determinants (508)NDA Determinants (130)