Home
Class 12
MATHS
Using properties of determinants, evalua...

Using properties of determinants, evaluate `|[18, 40 ,89],[ 40 ,89, 198 ],[89 ,198, 440]|dot`

Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX -JA|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

The value of Delta by using the properties of determinant where Delta = |{:(265,240,219),(240,225,198),(219,198,181):}| is

Without expanding evaluate the determinant =|(265, 240, 219), (240, 225, 198), (219, 198 ,181)| .

Find the range of the data values 85, 96, 72, 89, 66, and 78.

If f(x)=|[a,-1 ,0],[ax,a,-1],[a x^2,a x, a]|, using properties of determinants, find the value of f(2x)-f(x)dot

Find the sum of terms of the A.P: 4, 9, 14,…., 89.

Find the median of the following data 133, 73, 89, 108, 94, 104, 94, 85, 100, 120

Evaluate the 132.42 - 89.413 - 6.01 +0.6

The following data have been arranged in ascending order. If their median is 63, find the value of x. 34,37,53,55,x,x+2,77,83,89 and 100.

The following data have been arranged in ascending order. If their median is 63, find the value of x. 34,37,53,55,x,x+2,77,83,89 and 100.

Find the mode of the following data: Class Frequency 0-20 15 20-40 6 40-60 18 60-80 10

ALLEN-DETERMINANTS-All Questions
  1. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

    Text Solution

    |

  2. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

    Text Solution

    |

  3. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

    Text Solution

    |

  4. Find the area of the triangle with vertices at the points: (-1 ,-8 ), ...

    Text Solution

    |

  5. By using properties of determinants. Show that: |1+a^2-b^2 2a b-2b2a b...

    Text Solution

    |

  6. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2) .

    Text Solution

    |

  7. Absolute value of sum of roots of the equation |[x+2,2x+3, 3x+4],[ 2x+...

    Text Solution

    |

  8. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

    Text Solution

    |

  9. Prove that |b+c a a b c...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

    Text Solution

    |

  12. If "Delta"r=|[2^(r-1),2. 3^(r-1),4. 5^(r-1)],[x, y ,z],[2^n-1, 3^n-1, ...

    Text Solution

    |

  13. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Solve the following sets of equation using Cramer’s rule and remark...

    Text Solution

    |

  16. Solve the following sets of equation using Cramers rule and remark a...

    Text Solution

    |

  17. Determine for that values of lambda and mu the following system of eq...

    Text Solution

    |

  18. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

    Text Solution

    |

  19. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

    Text Solution

    |

  20. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

    Text Solution

    |