Home
Class 12
MATHS
Let Delta(x)=|(x+a,x+b,x+a-c),(x+b,x+c,x...

Let `Delta(x)=|(x+a,x+b,x+a-c),(x+b,x+c,x-1),(x+c,x+d,x-b+d)| and int_0^2 Delta(x)dx=-16,` where `a,b,c,d` are in A.P. then the common difference (i) `1` (ii)`2` (iii)`3` (iv)`4`

A

`+-1`

B

`+-2`

C

`+-3`

D

`+-4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Let Delta(y)=|{:(y+a,y+b,y+a-c),(y+b,y+c,y-1),(y+c,y+d,y-b+d):}| and, int_(0)^(2) Delta(y)dy=-16 , where a,b,c,d are in A.P., then the common difference of the A.P. is equal to

If Delta(x)=|{:(a,b,c),(6,4,3),(x,x^(2),x^(3)):}| then find int_(0)^(1) Delta (x) dx.

Let Delta=|(a,x,x),(x,b,x),(x,x,c)| and f(x)=(x-a)(x-b)(x-c) Determinant Delta is equal to

Show that |x+1x+2x+a x+2x+3x+b x+3x+4x+c|=0 where a ,\ b ,\ c are in A.P.

if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. then common difference will be +-1 b. +-2 c.+-3 d. +-4

Delta_1 = |[x,b,b], [a,x, b] ,[a, a, x]| and Delta_2 = |[x,b],[a,x]| show that d(Delta_1)/ dx = 3 Delta_2

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

If y=(x+a)(x+b)(x+c)(x+d)/(x-a)(x-b)(x-c)(x-d) then the value of dy/dx:

If ((x-a)(x-b))/((x-c)(x-d)^(2))>=0; where a>b>c>=d>0, then x in

ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
  1. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  2. Let Delta(x)=|(x+a,x+b,x+a-c),(x+b,x+c,x-1),(x+c,x+d,x-b+d)| and int0^...

    Text Solution

    |

  3. If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx...

    Text Solution

    |

  4. If a, b, c are sides of a triangle and |(a^2,b^2,c^2),((a+1)^2,(b+1...

    Text Solution

    |

  5. If |{:(alpha,x,x,x),(x,beta,x,x),(x,x,gamma,x),(x,x,x,delta):}| =f(x)-...

    Text Solution

    |

  6. If |{:(a,b-c,c+b),(a+c,b,c-a),(a-b,a+b,c):}|=0 the line ax +by +c=0 p...

    Text Solution

    |

  7. If f(x) =a+bx+cx^(2) and alpha,beta "and" gamma are the roots of the...

    Text Solution

    |

  8. When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)...

    Text Solution

    |

  9. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  10. The determinant |{:(y^(2),-xy,x^(2)),(a,b,c),(a',b',c'):}| is equal to

    Text Solution

    |

  11. If A,B and C are angle of a triangle of a triangle ,the value of |{:(...

    Text Solution

    |

  12. If |{:(x^(n),x^(n+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...

    Text Solution

    |

  13. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  14. If a(1),b(1),c(1),a(2),b(2),c(2) "and" a(3),b(3),c(3) are three digit ...

    Text Solution

    |

  15. If a,b,and c are sides of Delta ABC such that |{:(c,bcosB+alphabeta,ac...

    Text Solution

    |

  16. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

    Text Solution

    |

  17. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  18. The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-be...

    Text Solution

    |

  19. If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...

    Text Solution

    |

  20. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

    Text Solution

    |