Home
Class 12
MATHS
If the following three linear equations ...

If the following three linear equations have a non-trivial solution, then `x+4ay+az=0,x+3by+bz=0,x+2cy+cz=0`

A

a,b,c are in AP

B

a,b,c are in GP

C

a,b,c are in HP

D

a+b+c=0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

Find the real values of k for which the following system of linear equations has non-trivial solutions: x-ky+z=0,kx+3y-kz=0,3x+y-z=0

Find the real values of k for which the following system of linear equtions has non -trivial solution: x-ky-z=0,kx-y-z=0,x+y-z=0 .

Find the real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the real values of K for which the following system of linear equations has non-trival solutions: x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0

Find the real values of lambda for which the following system of linear equations has non -trivial solutions: x+y-3z=0,( 1+lambda)x+(2+lambda)y-8z=0 , x-(1+lambda)y+(2+lambda)z=0 .

Solve the following simultaneous linear equations by drawing graphs for them : (xvi) 2x+3y=-13 , 3x -2 =0

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions. In case there is unique solution, find it by using cross-multiplication method x – 3y – 3 = 0, 3x – 9y – 2 = 0

Solve the following simultaneous linear equations by drawing graphs for them : (viii) 4x-3y =0 , 3x+4y=25

The equation (ay-bx)^(2)+4xy=0 has rational solutions x , y for

Using matrix method, show that following system of equation is inconsistent : 2x+3y-z+4=0 x-y+2z-7=0 x+4y-3z+5=0

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. If ar=(cos2rpi+isin2rpi)^((1)/(9)), then the value of |{:(a1,a2,a3),(a...

    Text Solution

    |

  2. If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...

    Text Solution

    |

  3. If the following three linear equations have a non-trivial solution, t...

    Text Solution

    |

  4. On R, a relation p is defined by xpy if and only if x-y is zero or irr...

    Text Solution

    |

  5. int dx/(secx+cosx)

    Text Solution

    |

  6. If f:Rto R be defined by f(x)=e^x" and " g:R toR be defined by g(x)=x^...

    Text Solution

    |

  7. In order to get a head at least once with probility ge0.9, the minimum...

    Text Solution

    |

  8. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  9. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  10. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  11. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  12. The foot of the perpendicular drawn from the point (1,8,4) on the line...

    Text Solution

    |

  13. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  14. For 0leple1 and for any positive a,b let I(p)=(a+b)^p,J(p)=a^p+b^p: th...

    Text Solution

    |

  15. Let vecalpha=hati+hatj+hatk,vecbeta=hati-hatj-hatk" and "vecgamma=-hat...

    Text Solution

    |

  16. Let vecalpha,vecbeta,vecgamma be three unit vectors such that vecalpha...

    Text Solution

    |

  17. The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/...

    Text Solution

    |

  18. Let p be a relation on N, the set of natural numbers, as p={(x,y)neN x...

    Text Solution

    |

  19. If the polynomial f(x)=|{:((1+x)^a,(2+x)^b,1),(1,(1+x)^a,(2+x)^b),((2+...

    Text Solution

    |

  20. Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/...

    Text Solution

    |