Home
Class 12
MATHS
Eliminate x,y,z from a=x/y-z, b=y/z-x,...

Eliminate x,y,z from
a=x/y-z, b=y/z-x, c=z/x-y

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos
  • DIFFERENTIAL EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|87 Videos

Similar Questions

Explore conceptually related problems

What is the angle between the lines x/1 = y/-2 = z/1 and x/4 = y/1 = z/-2 .

Using properties of the determinants, prove that: |[2y, y-z-x, 2y],[2z, 2z, z-x-y], [x-y-z, 2x, 2x]| = (x+y+z)^3

Show that: |[x, y ,z],[x^2, y^2, z^2], [yz, zx, xy ]|=(x-y)(y-z)(z-x).(xy+yz+zx)

Write the value of x-y+z from the relation [[x+y+z],[x+z],[y+z]]=[[4],[8],[5]] .

Find the value of x,y, and z if A=[[0,2y,z],[x,y,-z],[x,-y,z]] satisfies A^1=A^(-1) .

Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2

Using properties of determinants prove that |{:(a+x,y,z),(x,a+y,z),(x,y,a+z):}|=a^2 (a+x+y+z)

Write the value of Delta=|{:(x+y,y+z,z+x),(z,x,y),(-3,-3,-3):}|

Using properties of determinants, prove that |{:(y^2z^2,yz,y+z),(z^2x^2,zx,z+x),(x^2y^2,xy,x+y):}|=0

MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Prove that the points : (x1,y1),(x2,y2),(x3,y3) are collinear if [[x...

    Text Solution

    |

  2. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  3. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  4. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

    Text Solution

    |

  5. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

    Text Solution

    |

  6. Write the number of solution of the following system of equation. x-2y...

    Text Solution

    |

  7. Write the number of solution of the following system of equation. x-y=...

    Text Solution

    |

  8. Write the number of solution of the following system of equation. 2x+y...

    Text Solution

    |

  9. Write the number of solution of the following system of equation. 3x+2...

    Text Solution

    |

  10. Write the number of solution of the following system of equation. 2x+3...

    Text Solution

    |

  11. Write the number of solution of the following system of equation. x+y+...

    Text Solution

    |

  12. Write the number of solution of the following system of equation. x+4y...

    Text Solution

    |

  13. Write the number of solution of the following system of equation.x+y-z...

    Text Solution

    |

  14. Write the number of solution of the following system of equation. a1x+...

    Text Solution

    |

  15. Show that the following system is inconsistent. (a-b)x+(b-c)y+(c-a)z...

    Text Solution

    |

  16. The system of equations x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=6 has

    Text Solution

    |

  17. If the system of equations 2x+5y+8z=0 x+4y+7z=0 6x+9y-z=0 has ...

    Text Solution

    |

  18. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has...

    Text Solution

    |

  19. The equations x+y+z=6 x+2y+3z=10 x+2y+mz=n given infinite numb...

    Text Solution

    |

  20. The system of equations 2x-y+z=0 x-2y+z=0 x-y+2z=0 has infinite ...

    Text Solution

    |