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

  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

  • MODEL QUESTION PAPER -16

    SHARAM PUBLICATION|Exercise EXERCISE|45 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

SHARAM PUBLICATION-MODEL QUESTION PAPER -15-EXERCISE
  1. Factorize the following. [[x+a,b,c],[b,x+c,a],[c,a,x+b]]

    Text Solution

    |

  2. Solve the following : [[1+x,1,1],[1,1+x,1],[1,1,1+x]]=0

    Text Solution

    |

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

    Text Solution

    |

  4. For what value of lambda,is the function f(x)={(lambdax^2-2x,if xle0),...

    Text Solution

    |

  5. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  6. If y^2cot x = x^2 coty then find (dy)/(dx)

    Text Solution

    |

  7. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

    Text Solution

    |

  8. Find two positive numbers whose product is 256 and whose sum is least.

    Text Solution

    |

  9. Integrate:inta/(b+ce^x)dx

    Text Solution

    |

  10. Integrate:int sec(sqrtx)/(sqrtx)dx

    Text Solution

    |

  11. Prove that int0^(pi/2)(sin^nx)/(sin^nx+cos^nx)dx=pi/4

    Text Solution

    |

  12. Find the area bounded by y=sinx,y=0,x=pi/2

    Text Solution

    |

  13. Solve : (x+y)dy +(x-y)dx = 0.

    Text Solution

    |

  14. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

    Text Solution

    |

  15. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  16. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  17. If veca=2vecb and vecc=-3vecb, then what is the angle between veca and...

    Text Solution

    |

  18. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |

  19. Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...

    Text Solution

    |

  20. Find the derivative of ((x-1)/(x^2+5))^-4 cos^-1((1-x^2)/(1+x^2))

    Text Solution

    |