Home
Class 12
MATHS
If |(a,b,aalpha+b),(b,c,balpha+c),(a alp...

If `|(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0` then

A

a, b, c are in A.P.

B

a, b, c are in G.P.

C

a, b, c are in H.P.

D

`(x-alpha)` is a factor of `ax^(2)+2bx+c`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-I)|3 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-II)|3 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If |{:(a, b, aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c," "0):}|=0 then

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

If det[[a,b,a alpha+bb,c,b alpha+ca alpha+b,b alpha+c,0]]=0 then

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

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):}|=0andalpha!=1//2 , then a,b,c are in

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 system of equations ax+by+(a alpha+ b)z=0 bx+cy+(b alpha+c)z=0 (a alpha+b)x+(balpha+c)y=0 has a non zero solutions if a,b,c are in

FIITJEE-MATHEMATICS TIPS-MCQ (MULTIPLE CORRECT)
  1. Let vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk and vec( c )=hati+ha...

    Text Solution

    |

  2. If P(z(1)),Q(z(2)),R(z(3)) " and " S(z(4)) are four complex numbers re...

    Text Solution

    |

  3. The largest coefficient in the expansion of (4+3x)^(25) is

    Text Solution

    |

  4. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

    Text Solution

    |

  5. If Deltar=|[2^(r-1),1/(r(r+1)),sin rtheta],[x, y, z],[2^n-1, n/(n+1),(...

    Text Solution

    |

  6. If a, b, c are even natural numbers, then Delta=|{:(a-1,a,a+1),(b-1,b,...

    Text Solution

    |

  7. There are n locks and n matching keys. If all the locks and keys are t...

    Text Solution

    |

  8. The number of ways in which we can choose 2 distinct integers from 1 t...

    Text Solution

    |

  9. Let n be a positive integer with f(n) = 1! + 2! + 3!+.........+n! and ...

    Text Solution

    |

  10. If m and n are positive integers more than or equal to 2, mgtn, then (...

    Text Solution

    |

  11. A drawer contains red and black balls. When two balls are drawn at ran...

    Text Solution

    |

  12. If A, B, C and D are four points with position vectors 3hati, 3hatj, 3...

    Text Solution

    |

  13. If |(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0 then

    Text Solution

    |

  14. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has (1989, 2M) at ...

    Text Solution

    |

  15. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |

  16. The nature of the intersection of the set of planes: 2x-4y+2z=5,5x-y...

    Text Solution

    |

  17. Let PM be the perpendicualr from the point P(1, 2, 3) to x-y plane. If...

    Text Solution

    |

  18. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

    Text Solution

    |

  19. The inverse of a skew symmetric matrix is

    Text Solution

    |

  20. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |