Home
Class 12
MATHS
Evaluate the following determinant: |[...

Evaluate the following determinant: `|[1, 4, 9], [4 ,9 ,16], [9, 16, 25]|`

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : (-4)+9

Write the minor and cofactor of each element of second column in the following determinants and evaluate them: |[1,2,4],[1,3,9],[1,4,16]|

Evaluate the following integrals int (x dx)/(9-16x^(4))

Evaluate the following: |[9,9,12],[1,3,-4],[1,9,12]|

Find the median of the following data 15, 6, 16, 8, 22, 21, 9, 18, 25

Find the mode of each of the following data : 9, 7, 8, 16, 12, 9, 8, 5, 9, 11

Prove without expanding the determinant |(9, 9, 12),(1, -3, -4),(1, 9, 12)|=0 .

Find the mode in each of the following data collection. 5,7,9, 11, 14, 16, 20, 22, 25

Find the value of the determinant |{:(1,2,4),(3,4,9),(2,-1,6):}|

Write the following sets in the set builder form: Q={1,4,9, 16}

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Prove that: |(-2a , a+b, a+c),( b+a,-2b, b+c),( c+a , c+b,-2c)|=4(a+b...

    Text Solution

    |

  2. Evaluate the following determinant: |[1 ,3, 5], [2 ,6, 10], [31, 11,...

    Text Solution

    |

  3. Evaluate the following determinant: |[1, 4, 9], [4 ,9 ,16], [9, 16, ...

    Text Solution

    |

  4. Without expanding, show that the value of each of the following dete...

    Text Solution

    |

  5. Without expanding, show that the value of each of the following dete...

    Text Solution

    |

  6. Without expanding, show that the value of the following determinant ...

    Text Solution

    |

  7. Without expanding, show that the value of each of the following det...

    Text Solution

    |

  8. Without expanding, show that the value of the following determinant...

    Text Solution

    |

  9. Without expanding, show that the value of each of the following dete...

    Text Solution

    |

  10. Evaluate the following: |[1,a, b c],[1,b, c a],[1,c, a b]|

    Text Solution

    |

  11. Evaluate the following: |[0,x y^2,x z^2],[x^2y,0,y z^2],[x^2z, z y^2,...

    Text Solution

    |

  12. If "Delta"=|(1,x,x^2),( 1,y, y^2),( 1,z, z^2)| , "Delta"1=|(1, 1, 1),(...

    Text Solution

    |

  13. Prove:\ |(a, b, c),( a-b,b-c,c-a),( b+c,c+a, a+b)|=a^3+b^3+c^3-3a b c

    Text Solution

    |

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

    Text Solution

    |

  15. Prove: |(a+b,b+c,c+a),( b+c,c+a, a+b),( c+a, a+b,b+c)|=2|(a, b, c),( b...

    Text Solution

    |

  16. Prove: |[a+b+2c, a, b], [c, b+c+2a, b], [c ,a ,c+a+2b]|=2(a+b+c)^3

    Text Solution

    |

  17. Prove: |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3

    Text Solution

    |

  18. Prove: |(1,b+c ,b^2+c^2),( 1,c+a ,c^2+a^2),( 1,a+b ,a^2+b^2)|=(a-b)(b-...

    Text Solution

    |

  19. Prove: |(a, a+b, a+2b),( a+2b, a ,a+b ),(a+b, a+2b, a)|=9(a+b)b^2

    Text Solution

    |

  20. Find dy/dx if x-y+x^5=sinx

    Text Solution

    |