Home
Class 12
MATHS
If alpha , beta and gamma the roots of ...

If `alpha , beta and gamma` the roots of the equation `x^2(px + q) = r(x + 1)`. Then the value of determinant `|(1+alpha,1,1),(1,1+beta,1),(1,1,1+gamma)|` is (A) `alpha beta gamma` (b) `1+1/alpha+1/beta+1/gamma` (c) 0 (d) non of these

A

`alpha,beta,gamma`

B

`1+1/alpha+1/beta+1/gamma`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level -II|19 Videos
  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos
  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II|12 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are roots of the equation x^(2)(px+q)=r(x+1) , then the value of determinant |{:(1+alpha,1,1),(1, 1+beta,1),(1,1,1+gamma):}| is

If alpha, beta, gamma are roots of equation x^(3)-x-1=0 then the value of sum(1+alpha)/(1-alpha) is :

If alpha, beta, gamma are the roots of the equation x^(3) + ax^(2) + bx + c = 0, "then" alpha^(-1) + beta^(-1) + gamma^(-1)=

If alpha,beta,gamma be the roots of the equation x(1+x^(2))+x^(2)(6+x)+2=0 then the value of (1)/(alpha)+(1)/(beta)+(1)/(gamma)=

If alpha,beta,gamma are the roots of the equation (x^3+x^2+x+1)=0 then |{:(1+alpha^2," "1," "1),(" "1,1+beta^2," "1),(" "1," "1,1+gamma^2):}| is equal to

If alpha,beta,gamma are the roots of the equation (x^3+x^2+x+1)=0 then |{:(1+alpha," "1," "1),(" "1,1+beta," "1),(" "1," "1,1+gamma):}| is equal to

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  2. The determinant Delta =|(a^2(1+x),ab,ac),(ab,b^2(1+x),bc), (ac,bc,c^2(...

    Text Solution

    |

  3. If alpha , beta and gamma the roots of the equation x^2(px + q) = r(x...

    Text Solution

    |

  4. If the system of equations x+a y=0,a z+y=0 and a x+z=0 has infinite so...

    Text Solution

    |

  5. If A+B+C =pi , then the value of determinant |{:(sin^2A,cotA,1),(sin^2...

    Text Solution

    |

  6. For A=a^2+b^2+c^2,B=ab+bc+ca,(a^3,b^3c^3-3abc)^2 is equal to

    Text Solution

    |

  7. If A, B, C are angle of a triangle ABC, then the value of the determi...

    Text Solution

    |

  8. If the expression |{:(x^2+x+3,1,4),(2x^4+x^3+2x+1,2,3),(x^2+x,1,1):}| ...

    Text Solution

    |

  9. The sum of two non integral roots of |{:(x,2,5),(3,x,3),(5,4,x):}|=0 i...

    Text Solution

    |

  10. |[1,1,1] , [(2^x+2^(-x))^2, (3^x+3^(-x))^2, (5^x+5^(-x))^2] , [(2^x-2^...

    Text Solution

    |

  11. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

    Text Solution

    |

  12. If |{:(overset(n-2)underset(k=0)sum1,n(n-1),n^2),(overset(n)underset(k...

    Text Solution

    |

  13. Delta=|{:(1+a^2+a^4,1+ab+a^2b^2,1+ac+a^2c^2),(1+ab+a^2b^2,1+b^2+b^4,1+...

    Text Solution

    |

  14. If A(x1, y1), B (x2, y2) and C (x3, y3) are the vertices of a DeltaABC...

    Text Solution

    |

  15. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

    Text Solution

    |

  16. If f(x) =("In"x)/x "then" |{:("In"x,x,0),(1//x,1,x),(-1//x^2,0,2):}| i...

    Text Solution

    |

  17. Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...

    Text Solution

    |

  18. If Ir^2+mr^2+nr^2=1 where r=1,2,3 and I1I2+m1m2+n1n2=0 …..etc. then ...

    Text Solution

    |

  19. If alpha is a root of x^4 = 1 with negative principal argument then th...

    Text Solution

    |

  20. If a, b gt 0 and Delta (x)|(x,a,a),(b,x,a),(b,b,x)|, then

    Text Solution

    |