Home
Class 12
MATHS
Ifthe equations a(y +z) =x,b(z+x) = y, ...

Ifthe equations `a(y +z) =x,b(z+x) = y, c (x + y) = z` have nontrivial solutions, then `1/(1+a)+1/(1+b)+1/(1+c)=`

A

`(3)/(2)`

B

3

C

`(1)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE /JEE Main Papers|71 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

a ,b ,c are distinct real numbers not equal to one. If a x+y+z=0,x+b y+z=0,a n dx+y+c z=0 have nontrivial solution, then the value of 1/(1-a)+1/(1-b)+()/(1-c) is equal to a.1 b. -1 c.z e ro d. none of these

If the system of linear equations a(y+z)-x=0,b(z+x)-y=0,c(x+y)-z=0 has a non trivial solution,(a!=-1,b!=-1,c!=-1), then show that (1)/(1+a)+(1)/(1+b)+(1)/(1+c)=2

If a, b and c are non - zero real numbers and if system of equations (a-1)x=y+z, (b-1)y=z+x and (c-1)z=x+y have a non - trivial solutin, then (3)/(2a)+(3)/(2b)+(3)/(2c) is equal to

if the system of equation ax+y+z=0,x+by=z=0, and x+y+cz=0(a,b,c!=1) has a nontrival solution,then the value of (1)/(1-a)+(1)/(1-b)+(1)/(1-c)is:

If the system of equation x=a(y+z),y=b(z+x),z=c(x+y),(a,b,c!=-1) has a non-zero solution then the value of (a)/(a+1)+(b)/(b+1)+(c)/(c+1) is

The value of a such that the system of equations x-2y+z=-4, 2x – y +2z = 2 and x+y+az = 4, has no solution , is a) 0 b)1 c)3 d)-1

If x,y,z not all zeros and equations x+y+z=0,(1+a)x+(2+a)y-8z=0,x-(1+a)y+(2+a)z= have non trivial solution then a

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. B -Architecture Entrance Examination Papers
  1. Let A and B be 2xx2 matrices with real entries . Let I be the 2xx2 ind...

    Text Solution

    |

  2. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

    Text Solution

    |

  3. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  4. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

    Text Solution

    |

  5. Let S be the set of all real matrices A = [(a,b),(c,d)] such that a+d ...

    Text Solution

    |

  6. If S(n) denotes the sum of first n natural numbers.the [S(1)+S(2)x+S(3...

    Text Solution

    |

  7. Let A = [(1,1),(0,1)] and B = [(b(1),b(2)),(b(3),b(4))] . If 10 A^(10...

    Text Solution

    |

  8. If for a matrix A, absA=6and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:}, th...

    Text Solution

    |

  9. Let S be the set of all real values of a for which the following syste...

    Text Solution

    |

  10. If A = ((2,52,152),(4,1-6,358),(6,162,620)) then the determinant of ad...

    Text Solution

    |

  11. Let S be the set of all real values of lambda for which the system of ...

    Text Solution

    |

  12. Ifthe equations a(y +z) =x,b(z+x) = y, c (x + y) = z have nontrivial...

    Text Solution

    |

  13. If B = [(-2,-2),(-1,0)] and A is a matrix such that A^(-1) B = B^(-1) ...

    Text Solution

    |

  14. Let [(3a,b,c),(b,3c,a),(c,a,3b)] be a 3xx3 matrix where a,b,c in R . I...

    Text Solution

    |

  15. The value of a for which the system linear of equations x+ay+z=1 a...

    Text Solution

    |

  16. Suppose A is a 2xx2 matrix for which A^(2)+A+I(2)=O(2) then det (adj (...

    Text Solution

    |

  17. If the system of linear equations : x+4y-3z=2 2x+7y+4z=alpha -x-...

    Text Solution

    |

  18. Let (a,b) be the solution of the system [(x,y)][(1,3),(5,1)]=[(2,1)]...

    Text Solution

    |

  19. If A^(20) = [(a,b),(c,d)] where A=[(1,1),(0,2)] then a+b+c+d is equal ...

    Text Solution

    |

  20. The number of solutions of the equations 3x-y-z=0 -3x+2y+z=0 -3x...

    Text Solution

    |