Home
Class 12
MATHS
answer the following : (ii) prove that, ...

answer the following : (ii) prove that, `|[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|`=-`(a^3+b^3)^2`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXERCISE

    UNITED BOOK HOUSE|Exercise EXERCISE|75 Videos

  • MODEL QUESTION PAPERS SET-01

    UNITED BOOK HOUSE|Exercise Exercise|11 Videos

Similar Questions

Explore conceptually related problems

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

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

prove that |{:(a,b,0),(0,a,b),(b,0,a):}|=a^3+b^3 , hence , find the value of the following determinant : |{:(2ab,a^2,b^2),(a^2,b^2,2ab),(b^2,2ab,a^2):}|

Prove that, abs((-a^2,ab,ac),(ba,-b^2,bc),(ca,cb,-c^2)) =4 a^2b^2c^2 .

Prove that, abs((a^2+1,ab,ac),(ab,b^2+1,bc),(ca,cb,c^2+1)) =1+ a^2+b^2+c^2 .

Find the product of the 2a^2b, 3ab^2 .

Prove that |[1, 1, 1]; [a, b, c]; [ bc+a^2, ac+b^2, ab+c^2]| = 2(a-b)(b-c)(c-a)

if a:b = b:c prove that ((a+b)/(b+c))^2 = (a^2+b^2)/(b^2+c^2) .

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 /_\^2(ab^(ex))=(b^c-1)^2ab^(ex) .

UNITED BOOK HOUSE-MODEL QUESTION PAPER SET 10-EXERCISE
  1. answerer any one of the foll. :(ii) if two angles of a triangle are ta...

    Text Solution

    |

  2. (b) answer any one of the foll.: (i) prove without expanding |[1,omega...

    Text Solution

    |

  3. answer any three of the foll. : (i) evaluate : lim(x rarr infty ) (e^(...

    Text Solution

    |

  4. find dy/dx, when e^(xy)-4xy=4

    Text Solution

    |

  5. evaluate: int dx/(sin^2 x cos^2 x)

    Text Solution

    |

  6. Show that , the equation of all circles touchung the y -axis at the or...

    Text Solution

    |

  7. Find the interval in which the function f(x)=x^x(x>0) is decreasing.

    Text Solution

    |

  8. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

    Text Solution

    |

  9. prove that , tan(2tan ^(-1) sqrt((1+cos theta )/(1- cos theta )))+tan ...

    Text Solution

    |

  10. answer the following : (ii) prove that, |[2ab,a^2,b^2],[a^2,b^2,2ab],[...

    Text Solution

    |

  11. answeer the following : (i) if y sqrt(x^2+1)=log(sqrt(x^2+1)-x), show ...

    Text Solution

    |

  12. x= a(theta-sin theta ),y=a(1-cos theta),show that , 2y (d^2y)/(dx^2)+ ...

    Text Solution

    |

  13. answer the following: (ii)evaluate: int (e^x(x-4))/(x-2)^3dx

    Text Solution

    |

  14. evaluate : int dx/(x^4+x^2+1)

    Text Solution

    |

  15. answer the following : (iii) solve:dy/dx=1+e^(2x-y),given y=2 when x...

    Text Solution

    |

  16. evaluate : int(-1)^2 |1-x^2| dx

    Text Solution

    |

  17. Evaluate (with the help of definite integral): underset(n rarr infty)l...

    Text Solution

    |

  18. a problem on mathematics is given to three students A,B,C whose probab...

    Text Solution

    |

  19. the overall percentage of failures in a certain examination is 40 what...

    Text Solution

    |

  20. Prove that the equation of the palne which passes through the point (-...

    Text Solution

    |