Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 4

EASY

JEE Advanced

IMPORTANT

Earn 100

The value of determinant $|\begin{matrix} 1 & 1 & 1 \\ e & π & \sqrt{2} \\ 2 & 2 & 2 \end{matrix}|$ is equal to

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Important Questions on Determinant

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 5

The value of determinant

|\begin{matrix} 1 & x & y + z \\ 1 & y & z + x \\ 1 & z & x + y \end{matrix}|

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 6

The value of determinant

|\begin{array}{l} a_{1} & l a_{1} + m b_{1} & b_{1} \\ a_{2} & l a_{2} + m b_{2} & b_{2} \\ a_{3} & l a_{3} + m b_{3} & b_{3} \end{array}|

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 7

The value of determinant

|\begin{matrix} 1 + a & 1 & 1 \\ 1 & 1 + a & 1 \\ 1 & 1 & 1 + a \end{matrix}|

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 8

The value of the determinant

|\begin{array}{l} a - b & b - c & c - a \\ x - y & y - z & z - x \\ p - q & q - r & r - p \end{array}|

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 9

If

D = |\begin{array}{l} 1 & a & b \\ 1 & b & c \\ 1 & c & a \end{array}|

, then

|\begin{array}{l} a & b & c \\ b & c & a \\ 1 & 1 & 1 \end{array}|

equals

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 10

If

ω

is a complex cube root of unity, then the value of the determinant

|\begin{matrix} 1 & ω & ω + 1 \\ ω + 1 & 1 & ω \\ ω & ω + 1 & 1 \end{matrix}|

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 12

The solution set of the equation

|\begin{matrix} 2 & 3 & x \\ 2 & 1 & x^{2} \\ 6 & 7 & 3 \end{matrix}| = 0

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 2 - Determinant>Target Exercises>Q 13

If

Δ = |\begin{matrix} 1 & 3 & 1 \\ 2 & - 1 & 1 \\ 0 & 4 & 2 \end{matrix}|,

then the value of

|\begin{matrix} 4 & 12 & 4 \\ 8 & - 4 & 4 \\ 0 & 16 & 8 \end{matrix}|

is