Home
Class 12
MATHS
Evaluate: |[1,a,bc],[1,b,ca],[1,c,ab]|...

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

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

write down the minor and cofactor |{:(1,a,bc),(1,b,ca),(1,c,ab):}|

|{:(1,a,bc),(1,b,ca),(1,c,ab):}|=|{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|

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,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)-ab):}|=0

Prove that [[a^2,bc,c^2+ca],[a^2+ab,b^2,ca],[ab,b^2+bc,c^2]]= 4a^2b^2c^2 .

If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+aλ],[ca+blambda,bc-alambda,c^2+lambda^2]| |[λ,c,-b],[-c,λ,a] ,[b,-a,λ]| = (1+a^2+b^2+c^2)^3 , then he value of lambda is 8 b. 27 c. 1 d. -1

Evaluate |{:(0,c,b),(c,0,a),(b,a,0):}| , hence show that . |{:(0,c,b),(c,0,a),(b,a,0):}|^2=|{:(b^2+c^2," "ab," "ac),(" "ab,c^2+a^2," "bc),(" "ca," "bc,a^2+b^2):}|=4a^2b^2c^2

UNITED BOOK HOUSE-SET 2-EXERCISE
  1. If in a biomial distribution n=4, P(x=0) = 16/81 then the value of P(x...

    Text Solution

    |

  2. Prove that , 2tan^(-1)x= cos^(-1) (1-x^2)/(1+x^2).

    Text Solution

    |

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

    Text Solution

    |

  4. Show that function f(x) = 2x-|x| is continous at x=0.

    Text Solution

    |

  5. Evaluate: overset(2)underset(1)int logx dx

    Text Solution

    |

  6. Find the order of the differential equation ((d^4y)/(dx^4))^3-(d^3y...

    Text Solution

    |

  7. Prove that the function f(x) = x+1/x(x!=0) is decreasing for all x in ...

    Text Solution

    |

  8. Determine the area bounded by rectangular hyperbola xy=c^2 the x-axis ...

    Text Solution

    |

  9. The direction agnles of a straight line are 120^@,45^@,30^@. Is the s...

    Text Solution

    |

  10. Find K, for which the two planes x+ky+5z+2=0 and 3x-2y+kz-1=0 are perp...

    Text Solution

    |

  11. Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c).

    Text Solution

    |

  12. Find the probability of guessing correctly at least 5 of the eight ans...

    Text Solution

    |

  13. Solve: tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)= tan^(-1)3x.

    Text Solution

    |

  14. If A=[[1,2,5].[-1,3,-4]] and B= [[3,-2,1],[0,-1,4],[5,2,-1]] show that...

    Text Solution

    |

  15. If A= [[3,-1],[1,2]],B=[[3],[1]],C=[[1],[-2]] find the matrix X such t...

    Text Solution

    |

  16. Prove that [[a^2,bc,c^2+ca],[a^2+ab,b^2,ca],[ab,b^2+bc,c^2]]= 4a^2b^2c...

    Text Solution

    |

  17. If x^2+y^2= t-1/t and x^4+y^4 = t^2+1/t^2,show that , x^3y (dy)/(dx) =...

    Text Solution

    |

  18. If 2x= y^(1/5)+y^(-1/5) prove that (x^2-1)y2+xy1 = 25y

    Text Solution

    |

  19. Solve: (2x+4y+3)(dy)/(dx)= 2y+x+1

    Text Solution

    |

  20. Solve: x(1-x^2)dy+(2x^2y-y-5x^3)dx=0.

    Text Solution

    |