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Determinants — BITSAT Mathematics PYQs

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

20 questionsMathematicsSolutions on every page

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 a p + b q + c r is

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 x²⁰⁰⁷+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+ z=k where , k R has infinitely many solutions, then +k is equal to:

BITSAT 2024 Solution View → 5

Given 2 x-y+2 z=2, x-2 y+z=-4 , x+y+ z=4 , then the value of 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 p p-a + q q-b + r r-c is

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 a x + y + z = a , x + b y + z = b and x + y + c z = c is inconsistent, then which of the following is correct?

BITSAT 2019 Solution View → 9

Let a , b , c ∈ R + 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

BITSAT 2019 Solution View → 10

If x 2 = sin θ cos θ 0 - cos θ sin θ 1 sin θ cos θ 2 then the value of 4 x 2 + x sin 3 π 2 + 5 is

BITSAT 2018 Solution View → 11

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

BITSAT 2016 Solution View → 12

Let ₁, ₂ and ₁, ₂ be the roots of a x²+b x+c=0 and px ²+ qx + r =0 respectively. If the system of equations ₁ y + ₂ z =0 and ₁ y + ₂ z =0 has a non-trivial solution, then

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 array

BITSAT 2009 Solution View →

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