Home
Class 12
MATHS
Using the property of determinants andd ...

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

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Exercise 4.3|9 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Exercise 4.4|7 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 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

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

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

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

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

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(-a^2,ab,ac),(ba,-b^2,bc),(ca,cb,-c^2):}|=4a^2b^2c^2

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

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 property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(a^2+1,ab,ac),(ab,b^2+1,bc),(ca,cb,c^2+1):}|=1+a^2+b^2+c^2

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(2,7,65),(3,8,75),(5,9,86):}|=0

KUMAR PRAKASHAN-DETERMINANTS -Exercise 4.2
  1. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  2. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  3. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  4. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  5. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  6. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  7. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  8. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  9. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  10. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  11. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  12. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  13. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  14. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  15. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  16. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  17. Using the property of determinants andd without expanding in following...

    Text Solution

    |

  18. Let A be a square matrix of order 3xx3 then |KA| is equal to ……

    Text Solution

    |

  19. Which of the following is correct

    Text Solution

    |