Home
Class 12
MATHS
Prove that |[a+b,a+2b,a+3b] , [a+3b,a+4b...

Prove that `|[a+b,a+2b,a+3b] , [a+3b,a+4b,a+5b] , [a+5b,a+6b,a+7b]|=0`

Answer

Step by step text solution for Prove that |[a+b,a+2b,a+3b] , [a+3b,a+4b,a+5b] , [a+5b,a+6b,a+7b]|=0 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Prove that: |[a+3b, a+5b, a+7b],[a+4b, a+6b, a+8b], [a+5b, a+7b, a+9b]|= 0

Without expanding the determinant, prove that |{:(a+b, 2a+b, 3a+b),(2a+b, 3a+b, 4a+b), (4a+b, 5a+b, 6a+b):}|=0.

Knowledge Check

  • The value of the determinant |(a+b,a+2b,a+3b),(a+2b,a+3b,a+4b),(a+4b,a+5b,a+6b)| is

    A
    4abc
    B
    0
    C
    `a^2+b^2`
    D
    none

    • Similar Questions

    Explore conceptually related problems

    Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]|=a^3

    Using properties of determinant prove that abs{:(a, a+ b, a+ b+ c),(2a, 3a + 2b , 4a + 3b+ 2c),(3a, 6a + 3b, 10a + 6b+ 3c):}=a^2 .

    Using properties of determinant prove that abs{:(a, a+ b, a+ b+ c),(2a, 3a + 2b , 4a + 3b+ 2c),(3a, 6a + 3b, 10a + 6b+ 3c):}=a^2 .

    Add : 5a + 3b, a - 2b, 3a + 5b

    If a :b =3:5 find 2a +3b: 4a+5b

    Prove that {:[( a,a+b,a+b+c) ,( 2a,3a+2b,4a+3b+2c),( 3a,6a+3b,10a+6b+3c)]:}=a^(3)

    Prove that {:|( a,a+b,a+b+c) ,( 2a,3a+2b,4a+3b+2c),( 3a,6a+3b,10a+6b+3c)|:}=a^(3)

    Home
    Profile