Home
Class 12
MATHS
Find the value of the determinant |{:(...

Find the value of the determinant
`|{:(-1,2,1),(3+2sqrt(2),2+2sqrt(2),1),(3-2sqrt(2),2-2sqrt(2),1):}|`

A

`16sqrt2`

B

`8sqrt2`

C

8

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise SECTION-C|10 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise SECTION-D|17 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise EXERCISE-1|9 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

The value of |{:(-1,,2,,1),(3+2sqrt(2),,2+2sqrt(2),,1),(3-2sqrt(2),,2-2sqrt(2),,1):}| is equal to

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

The matrix A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:} is

Simplify: (1)/(sqrt(3+2sqrt(2)))+(1)/(sqrt(3+2sqrt(2)))

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Find the 5th term of the progression 1,((sqrt(2)-1))/(2sqrt(3)),\ ((3-2sqrt(2))/(12)),\ ((5sqrt(2)-7)/(24sqrt(3))),\ ddot

If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triangle, its incentre is (2+sqrt(2),2+sqrt(2) ) (b) [2+sqrt(2),-(2+sqrt(2))] (2-sqrt(2),2-sqrt(2)) (d) [2-sqrt(2),(2+sqrt(2))]

If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triangle, its incentre is (2+sqrt(2),2+sqrt(2) ) (b) [2+sqrt(2),-(2+sqrt(2))] (2-sqrt(2),2-sqrt(2)) (d) [2-sqrt(2),(2+sqrt(2))]

If sqrt(2)=1.414,sqrt(3)=1.732 , find the value of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)" "(ii)(sqrt(3)-1)/(sqrt(3)+1)" "(iii)(2+sqrt(6))/(sqrt(2))

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

RESONANCE ENGLISH-MATRICES & DETERMINANT-SECTION-B
  1. If minor of three-one element (i.e.M(31)) in the determinant [{:(,0,1,...

    Text Solution

    |

  2. Using the properties of detminants, evalulate. (i) |{:(,23,6,11),(,36...

    Text Solution

    |

  3. Prove that: (i) |{:(,1,1,1),(,a,b,c),(,a^(3),b^(3),c^(3)):}|=(a-b)(b-...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,...

    Text Solution

    |

  6. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

    Text Solution

    |

  7. The value of |(a(1) x(1) + b(1) y(1),a(1) x(2) + b(1) y(2),a(1) x(3) +...

    Text Solution

    |

  8. If [{:(,e^(x),sin x),(,cos x,ln(1+x))]:}=A+Bx+Cx^(2)+....... then find...

    Text Solution

    |

  9. If A and B are squar matrices of order 3 such that |A|=-1, |B|=3 then ...

    Text Solution

    |

  10. Let A=[(cos^(- 1)x,cos^(- 1)y,cos^(- 1)z),(cos^(- 1)y,cos^(- 1)z,cos^...

    Text Solution

    |

  11. Find the value of the determinant |{:(-1,2,1),(3+2sqrt(2),2+2sqrt(2)...

    Text Solution

    |

  12. If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the va...

    Text Solution

    |

  13. If a, b,c> 0 and x,y,z in RR then the determinant |((a^x+a^-x)^2,(a...

    Text Solution

    |

  14. If a,b and c are non- zero real number then prove that |{:(b^(2...

    Text Solution

    |

  15. The determinant |(b(1)+c(1),c(1)+a(1),a(1)+b(1)),(b(2)+c(2),c(2)+a(2...

    Text Solution

    |

  16. If x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x...

    Text Solution

    |

  17. if determinant |{:( cos (0 + phi),,-sin (0+phi),,cos 2phi),(sin 0,,cos...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |