Home
Class 12
MATHS
The value of Delta =|(2,a+r+2,a+r),(a+r+...

The value of `Delta =|(2,a+r+2,a+r),(a+r+2,2(a+1)(r+1),a(r+1)+r(a+1)),(a+r,a(r+1)+r(a+1),2ar)|`

A

0

B

`-2a(r+1)`

C

`a(ar+r+a)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE) |7 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Problem Set (2) (MULTIPLE CHOICE QUESTIONS) |21 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Miscellaneous Questions (Assertion/Reason)|1 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |2 Videos

Similar Questions

Explore conceptually related problems

[" Two cells of equal e.m.f.and of internal "],[" resistances "r_(1)" and "r_(2)(r_(1)>r_(2))" are "],[" connected in series.On connecting this "],[" combination to an external resistance "R" ,"],[" it is observed that the potential "],[" difference across the first cell becomes "],[" zero.The value of "R" will be "],[[" (A) "r_(2)(r_(1)>r_(2)),(r_(1)+r_(2))/(2)],[" (B) "r_(1)-r_(2),(r_(1)-r_(2))/(2)]]

det[[ The value of the determinant nC_(r-1),nC_(r),(r+1),n+2C_(r+1)nC_(r),nC_(r+1),(r+2),n+2C_(r+2)nC_(r+1),nC_(r+2),(r+3),n+2C_(r+3)]] is

The value of sum_(r=2)^(100)(3^(r)(2-2r))/(r(r+1)(r+2)) is equal to

In a Triangle ABC, if (1)/(r12)+(1)/(r22)+(1)/(r32)+(1)/(r^(2))=

Show that (r_(1)+ r _(2))(r _(2)+ r _(3)) (r_(3)+r_(1))=4Rs^(2)

The value of 1/(r_(1)^(2))+1/(r_(2)^(2))+1/(r_(2)^(3))+1/(r^(2)) , is

The value of sum_(r=1)^(oo)tan^(-1)((2r-1)/(r^(4)-2r^(3)+r^(2)+1)) is equal to

show that r_(2)r_(3) +r_(3) r_(1)+ r _(1) r_(2)=s^(2)

Let n be a positive integer and Delta_(r)=|{:(r^(2)+r,r+1,r-2),(2r^(2)+3r-1,3r,3r-3),(r^(2)+2r+3,2r-1,2r-1):}| and sum _(r=1)^(n)Delta_(r)=an^(2)+bn+c find the value of a+b+c.

ML KHANNA-DETERMINANTS -Self Assessment Test
  1. The value of Delta =|(2,a+r+2,a+r),(a+r+2,2(a+1)(r+1),a(r+1)+r(a+1)),(...

    Text Solution

    |

  2. If a != b != c, are value of x which satisfies the equation |(0,x -a...

    Text Solution

    |

  3. |(b+c,a,a),(b,c+a,b),(c,c,a+b)|=

    Text Solution

    |

  4. |(1,1,1),(a,b,c),(a^3,b^3,c^3)|=

    Text Solution

    |

  5. |(1/a,a^2,bc),(1/b,b^2,ca),(1/c,c^2,ab)|=

    Text Solution

    |

  6. If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0 then other two roots ...

    Text Solution

    |

  7. The solution of the equation |(x,2,-1),(2,5,x),(-1,2,x)| = 0 are

    Text Solution

    |

  8. The roots of the equation |(0,x,16),(x,5,7),(0,9,x)| = 0 are

    Text Solution

    |

  9. |(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)|=k|(a,b,c),(b,c,a),(c,a,b)|...

    Text Solution

    |

  10. A root of the equation |(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)| = 0

    Text Solution

    |

  11. If |(-a^2,ab,ac),(ab,-b^2,bc),(ac,bc,-c^2)|=ka^2b^2c^2 , then k =

    Text Solution

    |

  12. If omega!=1 is a cube root of unity and Delta=|(x+omega^(2),omega,1)...

    Text Solution

    |

  13. |((a^x+a^(-x))^2,(a^x-a^(-x))^(2),1),((b^x+b^(-x))^2,(b^x-b^(-x))^(2),...

    Text Solution

    |

  14. The number of values of k which the linear equations 4x+ky+2z=0 kx...

    Text Solution

    |

  15. The value of k for which the set of equationsx + ky + 3z=0, 3x + ky – ...

    Text Solution

    |

  16. If x + y +z=0, 4x+3y -z=0 and 3x + 5y +3z=0 is the given system of equ...

    Text Solution

    |

  17. The system of equations x + y + z=2, 3x – y +2z=6 and 3x + y +z=-18 ha...

    Text Solution

    |

  18. The system of equations x+y+z=6, x+2y + 3z= 10, x+2y + lamdaz=mu has n...

    Text Solution

    |

  19. The system of linear equations x1 + 2x2 + x3 = 3, 2x1 + 3x2 + x3 = 3...

    Text Solution

    |

  20. Let a,b,c be such that b(a+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1),(c...

    Text Solution

    |