Home
Class 12
MATHS
The number of real values of t such that...

The number of real values of t such that the system of homogeneous equations `tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+2)z=0,(t-1)x+(t-2)y+tz=0` has non trivial solutions is

A

3

B

2

C

1

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOCUS AND TRANSFORMATION OF AXES

    SIA PUBLICATION|Exercise Problems|11 Videos

  • MEASURES OF DISPERSION AND PROBABILITY

    SIA PUBLICATION|Exercise PROBLEMS|82 Videos

Similar Questions

Explore conceptually related problems

If the system of homogeneous equations tx+(t+1)y+(t-1)z=0 (t+1)x+ty+(t+2)z=0 (t-1)x+(t+2)y+tz=0 in x,y,z has a non-trivial solution, then t is a root of the equation

Solve the following equations. (t+1)/(2)-(2t-1)/(3)=(t+3)/(3)+(t-2)/(4)

Find the number of integral solutions of x+y+z+t=29 where xge1,yge1,zge3 and tge0

The locus represented by x = (a)/(2) ( t + (1)/(t)), y = (a )/(2) ( t - (1)/(t)) is

The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) is

The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (x)/(at)+(y)/(b)=(1)/(t)

SIA PUBLICATION-MATRICES-PROBLEMS
  1. |(x+2,x+3,x+5),(x+4,x+6,x+9),(x+8,x+11,x+15)|=

    Text Solution

    |

  2. The system of equations 3x+2y+z=6,3x+4y+3z=14,6x+10y+8z=a has infinite...

    Text Solution

    |

  3. The number of real values of t such that the system of homogeneous equ...

    Text Solution

    |

  4. A=[(i,-i),(-i,i)],B=[(1,-1),(-1,1)]impliesA^(8)=

    Text Solution

    |

  5. f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|i...

    Text Solution

    |

  6. If A= [{:(-1, -2, -3),(4,4,3),(4,5,6):}], find its rank

    Text Solution

    |

  7. Given that, a alpha^(2) + c ne 0 and that the system of equations (a...

    Text Solution

    |

  8. A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),...

    Text Solution

    |

  9. If A is a matrix such that ((2,1),(3,2))A((1,1))=((1,1),(0,0)) then A=

    Text Solution

    |

  10. A=[{:(1,1,1),(0,0,0),(1,1,0):}]impliesA^(2) -2A=

    Text Solution

    |

  11. |(24,25,26),(25,26,27),(26,27,27)|=

    Text Solution

    |

  12. f(x)=|(2 cosx, 1, 0),(x-(pi)/2, 2 cos x, 1),(0, 1, 2cosx)|impliesf'(pi...

    Text Solution

    |

  13. |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...

    Text Solution

    |

  14. If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2...

    Text Solution

    |

  15. If A is a nonzero square matrix of order n with det(I+A)!=0 and A^(3)=...

    Text Solution

    |

  16. Suppose A and B are two square matrices of same order. If A, B are sym...

    Text Solution

    |

  17. If one of the roots of |{:(3,5,x),(7,x,7),(x,5,3):}|=0 is -10, then th...

    Text Solution

    |

  18. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

    Text Solution

    |

  19. If |(1,-1,x),(1,x,1),(x,-1,1)| has no inverse, then the real value of ...

    Text Solution

    |

  20. The inverse of the matrix [(7,-3,3),(-1,1,0),(-1,0,-1)] is

    Text Solution

    |