Home
Class 12
MATHS
Using the property of determinants and w...

Using the property of determinants and without expanding prove the following
`|{:(42,1,6),(28,7,4),(14,3,2):}|=0`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|42 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice work|34 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 4|20 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 and without expanding prove the following |{:(1,3,5),(2,6,10),(31,11,38):}|=0

Using the property of determinants and without expanding prove the following |{:(1,a,b+c),(1,b,c+a),(1,c,a+b):}|=0

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 the property of determinants and without expanding prove the following |{:(1,omega^n,omega^(2n)),(omega^(2n),1,omega^n),(omega^n,omega^(2n),1):}|=0 where omega is a cube root of unity

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

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 |{:(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 |{:(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 |{:(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4):}|=(5x+4)(4-x)^2

KUMAR PRAKASHAN-DETERMINANTS -Practice Work
  1. Using the property of determinants and without expanding prove the fol...

    Text Solution

    |

  2. Using the property of determinants and without expanding prove the fol...

    Text Solution

    |

  3. Using the property of determinants and without expanding prove the fol...

    Text Solution

    |

  4. Using the properties of determinants, solve the following for x |{:(...

    Text Solution

    |

  5. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

    Text Solution

    |

  6. Using the properties of determinants, prove the following |{:((b+c)^...

    Text Solution

    |

  7. Using the properties of determinants, prove the following |{:((x-2)^...

    Text Solution

    |

  8. Using the properties of determinants, prove the following It 2s=a+b+...

    Text Solution

    |

  9. Using the properties of determinants, prove the following |{:(a^2,b^...

    Text Solution

    |

  10. If p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then...

    Text Solution

    |

  11. If a,b,c are A.P then |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}...

    Text Solution

    |

  12. Using the properties of determinants, prove the following |{:(a,b-c,...

    Text Solution

    |

  13. Using the properties of determinants, prove the following |{:((a+b)^...

    Text Solution

    |

  14. Find area of the triangle withh vertices at the point given in each of...

    Text Solution

    |

  15. Find area of the triangle withh vertices at the point given in each of...

    Text Solution

    |

  16. Find area of the triangle withh vertices at the point given in each of...

    Text Solution

    |

  17. Find area of the triangle with vertices at the point given in each of ...

    Text Solution

    |

  18. Find values of k if area of triangle is 4 sq. units and vertices are (...

    Text Solution

    |

  19. Find values of k if the points (3,5), (k,3) and (1,1) are collinear

    Text Solution

    |

  20. Find values of k if area of trianlge is 13 and vertices are (8,2), (k,...

    Text Solution

    |