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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 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

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. If the value of the determinant |(a,1, 1) (1,b,1) (1,1,c)| is positive...

    Text Solution

    |

  2. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,...

    Text Solution

    |

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

    Text Solution

    |

  4. If A1,B1,C1, , are respectively, the cofactors of the elements a1, b1c...

    Text Solution

    |

  5. Solve for x |x-2 , 2x-3, 3x-4,x-4 ,2x-9, 3x-16 ,x-8, 2x-27, 3x-64|=0.

    Text Solution

    |

  6. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  7. Without expanding evaluate the determinant |[sinalpha,cosalpha,sin(alp...

    Text Solution

    |

  8. If y=sinm x , then the value of the determinant |y y1y2y3y4y5y6y7y8|,w...

    Text Solution

    |

  9. Find the value of the determinant |[1, 1, 1, 1],[ 1, 2, 3, 4],[ 1, 3, ...

    Text Solution

    |

  10. The parameter on which the value of the determinant |[1,a...

    Text Solution

    |

  11. If x=c y+b z ,y=a z+c x ,z=x+a y ,w h e r e .x ,y ,z are not all zer...

    Text Solution

    |

  12. If |[b^2+c^2,a b,a c],[ a b, c^2+a^2,b c],[c a, c b, a^2+b^2]|=k a^2b^...

    Text Solution

    |

  13. The value of |-1 2 1 3+2sqrt(2) 2+2sqrt(2) 1 3-2sqrt(2...

    Text Solution

    |

  14. Find the following system of equations is consistent, (a+1)^3x+(a+2...

    Text Solution

    |

  15. Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+...

    Text Solution

    |

  16. If |1 1 1a b c a^3b^2c^3|=(a-b)(b-c)(c-a)(a+b+c),w h e r ea ,b ,c are...

    Text Solution

    |

  17. Prove that [[1+a^2+a^4, 1+a b+a^2b^2 ,1+a c+a^2c^2],[ 1+a b+a^2b^2, 1+...

    Text Solution

    |

  18. The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to a.|b x+a ...

    Text Solution

    |

  19. If x , y , z are in A.P. , then the value of the determinant |[a+2,...

    Text Solution

    |

  20. Prove that |{:((b+x)(c+x),,(c+x)(a+x),,(a+x)(b+x)),((b+y)(c+y) ,,(c+y)...

    Text Solution

    |