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
`|{:(y+k,y,y),(y,y+k,y),(y,y,y+k):}|=k^2(3y+k)`

Text Solution

Verified by Experts

The correct Answer is:
`k^2(3y+k)`
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 |{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0

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

Using the property of determinants andd without expanding in following exercises 1 to 7 prove that |{:(b+c,q+r,y+z),(c+a,r+p,z+x),(a+b,p+q,x+y):}|=2|{:(a,p,x),(b,q,y),(c,r,z):}|

Using the property of determinants and without expanding prove the following |{:(a,b,c),(a+2x,b+2y,c+2z),(x,y,z):}|=0

Using properties of determinants in Exercise 11 to 15 prove that |{:(x,x^2,1+px^3),(y,y^2,1+py^3),(z,z^2,1+pz^3):}|=(1+pxyz)(x-y)(y-z)(z-x)

Using the properties of determinants in Exercise 1 to 6, evaluate |{:(3x,-x+y,-x+z),(x-y,3y,z-y),(x-z,y-z,3z):}|

Without expanding prove that Delta=|{:(x+y,y+z,z+x),(z,x,y),(1,1,1):}|=0

Using the properties of determinants in Exercise 1 to 6, evaluate |{:(a+x,y,z),(x,a+y,z),(x,y,a+z):}|

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

    |