Home
Class 12
MATHS
Prove that the following. [[1+a,1,1],[1,...

Prove that the following. `[[1+a,1,1],[1,1+b,1],[1,1,1+c]]`
= abc(1+1/a+/b+1/c)

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 2

    MODERN PUBLICATION|Exercise PROBLEM|74 Videos

  • TEST PAPER 4

    MODERN PUBLICATION|Exercise PROBLEM|64 Videos

Similar Questions

Explore conceptually related problems

Prove the following: [[1,1,1],[a,b,c],[a^3,b^3,c^3]] =(b-c)(c-a)(a-b)(a+b+c)

Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]] =0

Prove that the following. [[1,1,1],[b+c,c+a,c+a],[b^2+c^2,c^2+a^2,a^2+b^2]] =(b-c)(c-a)(a-b)

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(abc+bc+ca+ab)

Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]] .

Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+a^2+b^2+c^2

What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

MODERN PUBLICATION-TEST PAPER 3-PROBLEM
  1. A trust fund has Rs. 50,000 that is to be invested in two types of ...

    Text Solution

    |

  2. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  3. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  4. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  5. If y=In(x^2 +y^2),then find dy/dx.

    Text Solution

    |

  6. If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)

    Text Solution

    |

  7. Test the differentiability and continuity of the following function at...

    Text Solution

    |

  8. Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...

    Text Solution

    |

  9. int0^piabs(cosx)dx

    Text Solution

    |

  10. Solve :(1 + y^2).dx+xdy = tan^-1y dy

    Text Solution

    |

  11. A plane meets the coordinate axes at A, B and C respectivély. If the c...

    Text Solution

    |

  12. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  13. Prove that the acute angle between the lines whose direction cosines a...

    Text Solution

    |

  14. Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +...

    Text Solution

    |

  15. Constract the composition table/multiplication table for the binary op...

    Text Solution

    |

  16. Let A = ( ( 1 2 2) , (2 1 2), (2 2 1)).Find A^-1 and hence show A^2-4A...

    Text Solution

    |

  17. Prove that the following. [[b^2+c^2,ab,ac],[ab,c^2+a^2,bc],[ca,cb,a^2+...

    Text Solution

    |

  18. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  19. Shows that the triangle of greatest area that can be inscribed in a ci...

    Text Solution

    |

  20. Find the area of the région on closed between y = 4x-1 and y^2=2x

    Text Solution

    |