Home
Class 12
MATHS
The value of determinant |{:(a-b,b+c,a),...

The value of determinant `|{:(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c):}|`

A

`a^3+b^3+c^3`

B

3 abc

C

`a^3+b^3+c^3-3abc`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|10 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|11 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

The value of the determinant |{:(-a, b, c), (a,-b, c), (a, b,-c):}| is equal to.

If a,b,c are positive and unequal, show that value of the determinant Delta=|{:(a,b,c),(b,c,a),(c,a,b):}| is negative

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0

The value of determinant |a-bb-cc-a b-cc-a a-b c-a a-bb-c| is equal to- a b c b. 2a b c c. 0 d. none

The determinant |{:(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2):}| equals …….

Without expanding the determinant prove that |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}|

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b):}|=(a+b+c)^3

Using the properties of determinants in Exercise 1 to 6, evaluate |{:(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b):}|

the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha+c,,0):}|=0 is equal to zero if