Home
Class 12
MATHS
The value of the determinant |{:(a, b,0)...

The value of the determinant `|{:(a, b,0), (0,a, b),(b,0,a):}|` is equal to

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The value of the determinant |{:(-a, b, c), (a,-b, c), (a, b,-c):}| is equal to.

If p + q + r = a + b + c = 0 , then the determinant |{:(pa,qb,rc),(qc,ra,pb),(rb,pc,qa):}| equals

The value of determinant |a-bb-cc-a b-cc-a a-b c-a a-bb-c| is equal to- a b c b. 2a b c c. 0 d. none

Without expanding the determinant prove that: {:|(0,a,-b),(-a,0,-c),(b,c,0)|:}=0

the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha+c,,0):}|=0 is equal to zero if

If a+b+c ne 0 and |{:(a,b,c),(b,c,a),(c,a,b):}|=0 then prove that a=b=c

The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) and C(a, 0) are mutually perpendicular if

The area of a triangle with vertices A(-3,0), B(3,0) and (0,k) is 9 sq. units . The value of k will be "........."

If (a^(2)+b^(2))^(3) = (a^(3)+b^(3))^(2) and ab ne 0 then the numerical value of (a)/(b)+ (b)/(a) is equal to-

If a!=b!=c\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 then A. a+b+c=0 B. a b+b c+c a=0 C. a^2+b^2+c^2=a b+b c+c a D. a b c=0

ALLEN -DETERMINANTS-All Questions
  1. If a ,\ b ,\ &\ c are non zero real numbers, then |b^2c^2bcb+c c^2a^2...

    Text Solution

    |

  2. If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...

    Text Solution

    |

  3. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

    Text Solution

    |

  4. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  5. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

    Text Solution

    |

  6. Find the equation of the straight line parallel to Y - axis and at a d...

    Text Solution

    |

  7. The determinant |[a^2, a^2-(b-c)^2,bc],[b^2,b^2-(c-a)^2,ca],[ c^2,c^2-...

    Text Solution

    |

  8. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

    Text Solution

    |

  9. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

    Text Solution

    |

  10. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

    Text Solution

    |

  11. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  12. Given that q^2-p r <0,\ p >0, then the value of {:|(p, q, px+qy), ...

    Text Solution

    |

  13. If |{:(a, a, x), (m, m, m),(b, x, b):}|=0,\ then x may be equal to- ...

    Text Solution

    |

  14. The value of the determinant {:|(alpha,beta,l), (alpha,x, n),(alpha,be...

    Text Solution

    |

  15. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

    Text Solution

    |

  16. If the system of equations x+y-3=0,\ (1+K)x+(2+K)y-8=0\ &\ x-(1+K)y...

    Text Solution

    |

  17. If the determinant |[a+p, l+x, u+f], [b+q, x+y, v+g], [c+r, n+z, w+h]|...

    Text Solution

    |

  18. The values of lambda for which the system of equations x+y+z=6,x+2y+3z...

    Text Solution

    |

  19. If x , y , z are in A.P. , then the value of the determinant are in A....

    Text Solution

    |

  20. Let p be the sum of all possible determinabnts of order 2 having 0,...

    Text Solution

    |