Home
Class 12
MATHS
If a,b,c, are in A.P., then the determin...

If a,b,c, are in A.P., then the determinant `|{:(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c):}| is

A

`0`

B

`1`

C

`x`

D

`2x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise Type-II (Fill in the blanks questions)|31 Videos
  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise Type-III (True or False questions)|25 Videos
  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise Example (Questions caryying 6 marks)|35 Videos
  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos
  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 Videos

Similar Questions

Explore conceptually related problems

If a,b,c and in A.P, then x^a,x^b,x^c are in:

If p,q,r ar in A.P. write the value of : {:|(x+1,x+2,x+2p),(x+2,x+3,x+2q),(x+3,x+4,x+2r)|

if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+b+c) where a,b,c are all different then the determinant |{:(1,,1,,1),((x-a)^(2),,(x-b)^(2),,(x-c)^(2)),((x-b)(x-c),,(x-c)(x-a),,(x-a)(x-b)):}| vanishes when

Solve the equation |(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64)|=0

By using properties of determinants, show that |{:(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4):}|=(5x+4)(4-x)^(2)

ACCURATE PUBLICATION-DETERMINANTS-Type-I (Multiple choice questions)
  1. The value of the det. |[11,12,13],[12,13,14],[13,14,15]| is

    Text Solution

    |

  2. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

    Text Solution

    |

  3. If a,b,c, are in A.P., then the determinant |{:(x+2,x+3,x+2a),(x+3,x+4...

    Text Solution

    |

  4. The value of the Det.|{:(2,a,abc),(2,b,bca),(2,c,cab):}| is

    Text Solution

    |

  5. If area of triangle is 35 sq. units with vertices (2,-6), (5, 4) and (...

    Text Solution

    |

  6. If area of triangle is 4 sq. units with vertices (-2, 0), (0, 4) and (...

    Text Solution

    |

  7. Delta=|(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33))| an...

    Text Solution

    |

  8. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

    Text Solution

    |

  9. Let A be a non-singular square matrix of order 3×3. Then abs(adjA) is

    Text Solution

    |

  10. If A is a non-singular matrix of order 3 and |A| = 3, then |Adj. A| eq...

    Text Solution

    |

  11. If A is a non-singular matrix of order 3 and |A| = 2, then | adj A| eq...

    Text Solution

    |

  12. If A is a non-singular matrix of order 3 and |A| = 4, then |Adj. A| eq...

    Text Solution

    |

  13. If A is an invertible square matrix of order 4, then |adj. A| is equal...

    Text Solution

    |

  14. If A is non-singular matrix of order 3 and |A|=5 then |adj.A| equals :

    Text Solution

    |

  15. If A is a matrix of order 3xx3 and abs (A) = 10 then abs (adj. A) is

    Text Solution

    |

  16. If A is a square matrix of order 3xx3 and abs(A) = 5 then abs (Adj. A)...

    Text Solution

    |

  17. If A = ([2,1],[1,2]), then A (Adj A) equals :

    Text Solution

    |

  18. If A=[{:(3,1),(1,2):}], then A(adjA) equals

    Text Solution

    |

  19. If A = ([4,3],[3,4]), then A (Adj A) equals :

    Text Solution

    |

  20. If A=[(3,2),(1,4)] , then A(adj A) equals

    Text Solution

    |