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

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

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • EXCLUSIVELY FOR JEE(ADVANCED)

    MODERN PUBLICATION|Exercise EXERCISE|38 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

Prove that: |[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2 .

The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to

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

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

    Text Solution

    |

  2. Select the Correct Option If A is an invertible matrix of order 2, the...

    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. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

    Text Solution

    |

  5. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

    Text Solution

    |

  6. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

    Text Solution

    |

  7. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

    Text Solution

    |

  8. If determinant A is of order 2xx2 and |A|=3, then the value of |2A| is

    Text Solution

    |

  9. Write the value {:|(x,x+1),(x-1,x)|

    Text Solution

    |

  10. If matric A = {:|(3-2x,x+1),(2,4)| is singular, then x is equal to

    Text Solution

    |

  11. The value of x from the equation {:|(x,2,3),(4,x,1),(x,2,5)|=0 is

    Text Solution

    |

  12. If A is a square matrix of order 3 such that |adjA|=16, then |A| is

    Text Solution

    |

  13. If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..

    Text Solution

    |

  14. The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

    Text Solution

    |

  15. If A= diag (4, 2, 1) then det. A is equal to :

    Text Solution

    |

  16. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  17. If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...

    Text Solution

    |

  18. The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...

    Text Solution

    |

  19. Let I denote the 3xx3 and P be a matrix obtained by rearranging the co...

    Text Solution

    |

  20. If A is matrix of order 3,such that A(adjA)=10I. Then |adjA|=

    Text Solution

    |