Home
Class 12
MATHS
Find the value of the determinant |[1, 1...

Find the value of the determinant `|[1, 1, 1, 1],[ 1, 2, 3, 4],[ 1, 3, 6, 10 ],[1 ,4 ,10 ,20]|`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the value of determinant : |(10,-1),(-1,7)|

Find the value of determinant : |(5,4),(3,-1)|

Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|

Find the value of |[1,1,1],[4,3,2],[4^2,3^2,2^2]|

let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d)),1/( (a + d) (a +2d))],[1/(a+ d),1/( (a+ d) (a + 2d)), 1/((a+2d) (a + 3d))],[1/(a +2d), 1/((a + 2d) (a +3d)), 1/((a+3d) (a + 4d))]|

Evaluate the determinant Delta = {:|(1,2,4),(-1,3,0),( 4,1,0)|:}

Find the value of sin(1/2cot^(-1)(-3/4))

If C=2cos theta , then the value of the determinant D=|(C,1,0),(1,C,1),(6,1,C)| is -

Let omega=-1/2+i(sqrt(3))/2 . Then the value of the determinant |(1,1,1),(1,-1-omega^2,omega^2),(1,omega^2,omega^4)| is (A) 3omega (B) 3omega(omega-1) (C) 3omega^2 (D) 3omega(1-omega)

Find minor and cofactor of elements of the determinant: |(-1,2),(1,0)|

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Find the value of the determinant |[1, 1, 1, 1],[ 1, 2, 3, 4],[ 1, 3, ...

    Text Solution

    |

  2. If P = {1,2}, form set set P xx P xx P

    Text Solution

    |

  3. Statement 1: If b c+q r=c a+r p=a b+p q=-1, then |{:(ap ,a, p) ,(bq,...

    Text Solution

    |

  4. If f(theta)=|sinthetacosthetasinthetacosthetasinthetacosthetacosthetas...

    Text Solution

    |

  5. If f(theta)=|[sin^2A,cot A,1],[sin^2B,cotB,1],[sin^2C,cotC,1]| , then ...

    Text Solution

    |

  6. The roots of the equation |^x Cr^(n-1)Cr^(n-1)C(r-1)^(x+1)Cr^n Cr^n C(...

    Text Solution

    |

  7. Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2...

    Text Solution

    |

  8. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

    Text Solution

    |

  9. If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,using properties of det...

    Text Solution

    |

  10. If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 10...

    Text Solution

    |

  11. If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|...

    Text Solution

    |

  12. Let f(n)=|n n+1 n+2 ^n Pn^(n+1)P(n+1)^n Pn^n Cn^(n+1)C(n+1)^(n+2)C(n+2...

    Text Solution

    |

  13. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

    Text Solution

    |

  14. Let x<1, then value of |[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]| is...

    Text Solution

    |

  15. Find the number of real root of the equation |[0,x-a, x-b],[ x+a,0,x-...

    Text Solution

    |

  16. Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonz...

    Text Solution

    |

  17. If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e...

    Text Solution

    |

  18. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

    Text Solution

    |

  19. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

    Text Solution

    |

  20. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

    Text Solution

    |

  21. Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...

    Text Solution

    |