Home
Class 12
MATHS
Without expanding show that |[1/a,1,bc],...

Without expanding show that `|[1/a,1,bc],[1/b,1,ca],[1/c,1,ab]|=0`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate: |[1,a,bc],[1,b,ca],[1,c,ab]|

Without expanding,show that |[9,9,12],[1,-3,-4],[1,9,12]|=0

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

Without expanding prove that , |{:(1,ab,1/a+1/b),(1,bc,1/b+1/c),(1,ca,1/c+1/a):}|=0

Without expanding prove that, abs((1,ab,1/a+1/b),(1,bc,1/b+1/c),(1,ca,1/c+1/a)) = 0

Prove without expanding |[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]|

Prove that . |[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-ab]|=0

Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]| = abc(1+1/a+1/b+1/c) , (abc != 0)

Without expanding prove that |{:(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)-ab):}|=0

prove without expanding, |[(a-b),1,a],[b-c,1,b],[c-a,1,c]|=|[a,1,b],[b,1,c],[c,1,a]|

UNITED BOOK HOUSE-SET 4-EXERCISE
  1. Show that , cos^(-1) 4/5 + cot^(-1) 5/3 = tan^(-1) 27/11

    Text Solution

    |

  2. answer any one question A=[[1,0],[-1,7]] and I be the unit matrix of s...

    Text Solution

    |

  3. Without expanding show that |[1/a,1,bc],[1/b,1,ca],[1/c,1,ab]|=0

    Text Solution

    |

  4. f(x) = {(|x+1|/(x+1),when x!= -1),(0, when x = -1):} Test whether f(...

    Text Solution

    |

  5. Find the value of c that occurs in the conclusion of lagrange's MVT in...

    Text Solution

    |

  6. Solve: (x-y)(dx+dy) = dx-dy when x= 0, y = -1

    Text Solution

    |

  7. For any two vectors veca and vec b show that |vec a.vec b|le |vec a|.|...

    Text Solution

    |

  8. Show that the condition for the lines x= a1z+b1,y = c1z+d1 and x = a2z...

    Text Solution

    |

  9. Can the two events A and B be mutually exclusive if P(A) = 1/8,P(A//B)...

    Text Solution

    |

  10. Let * be a binary operation defined by a* b = L.C.M , (a,b) AA a,b in ...

    Text Solution

    |

  11. Solve: sin^-1x+sin^-1(1-x)=cos^-1x

    Text Solution

    |

  12. Show that, A = 1/3[[1,2,2],[2,1,-1],[-2,2,-1]] are orthogonal matrix a...

    Text Solution

    |

  13. Prove that |[x,a,b],[a,x,b],[a,b,x]|=(x-a)(x-b)(x+a+b)

    Text Solution

    |

  14. Prove that |[b+c ,a-b, a] ,[c+a, b-c ,b],[ a+b, c-a, c]|=3abc-a^3-b^3-...

    Text Solution

    |

  15. If y = sin^(-1){(5x+12sqrt(1-x^2))/13} then show that (dy)/(dx) = 1/sq...

    Text Solution

    |

  16. If (sqrt(1-x^2))y= sin^(-1)x then show that (1-x^2)y2-3xy1-y =0

    Text Solution

    |

  17. Evaluate: int(sin^(-1)x)/(1-x^2)^(3//2)dx

    Text Solution

    |

  18. Evaluate: int (dx)/sqrt(2/3x^3-x^2+1/3)

    Text Solution

    |

  19. Solve: x(dy)/(dx)+3y = x^2

    Text Solution

    |

  20. Solve: (x^2+y^2)dy-xydx=0

    Text Solution

    |