Home
Class 12
MATHS
the determinant |{:(a,,b,,aalpha+b),(b,,...

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

A

b,c,d are in A.P

B

b,c,d are in G.P

C

b,c,d are in H.P

D

`alpha` is a root of `ax^(3)-bx^(2)-3cx-d=0`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-IV|1 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise EXERCISE-3|31 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise EXERCISE-2|19 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

If the determinant |(a ,b,2aalpha+3b),(b, c,2balpha+3c),(2aalpha+3b,2balpha+3c,0)|=0 then (a) a , b , c are in H.P. (b) alpha is root of 4a x^2+12 b x+9c=0 or(c) a , b , c are in G.P. (d) a , b , c , are in G.P. only a , b ,c are in A.P.

If the determinant |[a,b,2aalpha+3b],[b,c,2balpha+3c],[2aalpha+3b,2balpha+3c,0]|=0 then (a) a , b , c are in H.P. alpha is root of 4a x^2+12 b x+9c=0 or a , b , c are in G.P. a , b , c , are in G.P. only a , b ,c are in A.P.

If |{:(a,b,aalpha-b),(b,c,balpha-c),(2,1,0):}|=0 , then

The determinant Delta = |(b,c,b alpha +c),(c,d,c alpha + d),(b alpha + c,c alpha + d,a a^(3) - c alpha)| is equal to zero, if

The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ,b , c are in A.P. a ,b ,c are in G.P. a ,b ,c are in H.P. alpha is a root of the equation a x^2+b c+c=0 (x-alpha) is a factor of a x^2+2b x+c

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal to- a. a^3-b^3 b. a^3+b^3 c. 0 d. none of these

The value of the determinant |(b +c,a -b,a),(c +a,b -c,b),(a +b,c -a,c)| , is

If |{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0 , then a+b+c is equal to

Use properties of determinants to solve for x: |{:(,x+a,b,c),(,c,x+b,a),(,a,b,x+c):}|=0 and x=0

RESONANCE ENGLISH-MATRICES & DETERMINANT-PART-III
  1. Which one of the following is wrong?

    Text Solution

    |

  2. Which of the following is true for matrix A=[{:(,1,-1),(,2,3):}]

    Text Solution

    |

  3. Suppose a(1),a(2),a(3) are in A.P. and b(1),b(2),b(3) are in H.P. and ...

    Text Solution

    |

  4. Let theta=(pi)/(5),X=[{:(,cos theta,-sin theta),(,sin theta,cos theta)...

    Text Solution

    |

  5. If Delta=|{:(,x,2y-z,-z),(,y,2x-z,-z),(,y,2y-z,2x-2y-z):}|,then

    Text Solution

    |

  6. " if " Delta = |{:(-x,,a,,b),(b,,-x,,a),(a,,b,,-x):}|" then a fac...

    Text Solution

    |

  7. the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha...

    Text Solution

    |

  8. The determinant Delta=|{:(,a^(2)(1+x),ab,ac),(,ab,b^(2)(1+x),(bc)),(,a...

    Text Solution

    |

  9. If a non-singular matrix and A^(T) denotes the tranpose of A, then

    Text Solution

    |

  10. Let "Let"(x)=|{:(,2sinx,sin^(2)x,0),(,1,2sin x,sin^(2)x),(,0,1,2sin x)...

    Text Solution

    |

  11. Let Delta=|{:(,1,x,x^(2)),(,x^(2),1,x),(,x,x^(2),1):}|. Then

    Text Solution

    |

  12. Let f(x)=|{:(,1//x,logx,x^(n)),(,1,-1//n,(-1)^(n)),(,1,a,a^(2)):}| whe...

    Text Solution

    |

  13. If D is determinant of order three of Delta is a determinant formed by...

    Text Solution

    |

  14. Let A,B,C,D be real matrices such that A^(T)=BCD,B^(T)=CDA,C^(T)=DAB a...

    Text Solution

    |

  15. Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such t...

    Text Solution

    |

  16. If A^(-1)=[{:(,1,-1,0),(,0,-2,1),(,0,0,-1):}] then

    Text Solution

    |

  17. IF A and B are squre matrices of order 3, then the true statement is/a...

    Text Solution

    |

  18. Let M be a 3xx3 non-singular matrix with det(M)=4,"If" M^(-1)"adj(adjM...

    Text Solution

    |