Home
Class 10
MATHS
If x+y alphaz, when y is constant, (x+z)...

If `x+y alphaz,` when y is constant, `(x+z) alpha y` when z is constant, then show that `(x+y+z) alpha yz` when y and z both are constant.

Promotional Banner

Topper's Solved these Questions

  • HOOGHLY COLLIGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • JHOWDANGA SAMMILANI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

If (x+y) prop z when y is constant and (z+x) prop y when z is constant . Then prove that (x+y+z) prop yz , when when y and z are both constant.

Three variable x,y,z such that y+z-x is a constant and if (z+x-y)(x+y-z) alpha yz, then show that (x+y+z) alpha yz .

If x/y alphax+y and y/x alpha x-y , then show that x^2-y^2 = constant.

If x alpha yz and y alpha zx , then show that (z!=0) is a constant.

If x alpha y+x (k is constant), y alpha(z+x) (l is constant), z alpha(x+y) (m is costant), then show that k/(k+1)+l/(l+1)+m/(m+1)=1 .

If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) (x/a + y/b + z/c) ge 9

If cos^-1 x +cos^-1y + cos^-1z = pi and x + y + z = 3/2 , then show that x = y = z.

If x prop yz and y prop zx, then prove that z is a non- zero variation constant.

If tan ^(-1) ""x + tan ^(-1) ""y + tan ^(-1) ""z=(pi)/(2) and x + y +z = sqrt(3) then show that x =y=z.

UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. Solve: (a+x-2b)/(2a-b)-(a-2b)/x=1.

    Text Solution

    |

  2. If one root of the equation ax^2+bx+c=0 is square the other root, then...

    Text Solution

    |

  3. If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, t...

    Text Solution

    |

  4. If x= (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)), then show that ...

    Text Solution

    |

  5. If a,b,c,d are in continued proportion then show that abcd(1/a+1/b+1/c...

    Text Solution

    |

  6. If x = cy+bz, y =az+cx, z = bx+ay then prove that x^2/(1-a^2)=y^2/(1-b...

    Text Solution

    |

  7. State and Prove Pythagoras theorem.

    Text Solution

    |

  8. Prove that the tangent and the radius through the point of contact of ...

    Text Solution

    |

  9. Two tangents are draw from an external point A to the cirle with centr...

    Text Solution

    |

  10. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

    Text Solution

    |

  11. Draw a circle with radius 2.8 cm in length. Take point apart from the ...

    Text Solution

    |

  12. Geometrically find the value of sqrt(38) (only traces of construction ...

    Text Solution

    |

  13. If sec theta+ tan theta = 2+sqrt5, show that sin theta+ cos theta = 3/...

    Text Solution

    |

  14. If alpha and beta are complementary angles to each other, the find the...

    Text Solution

    |

  15. If sec theta = (2xy)/(x^2+y^2) possible? When x and y are positive rea...

    Text Solution

    |

  16. From the bottom of a 'tila' the angle of elevation of its unreachable ...

    Text Solution

    |

  17. A spherical ballon of radius r while floating in the sky, makes an ang...

    Text Solution

    |

  18. Two parallel planes which are parallel to the base of a right circular...

    Text Solution

    |

  19. A cylindrical vessel of radius 4 cm contains water. A solid sphere of ...

    Text Solution

    |

  20. The height and diameter of each of three right circular cylinders are ...

    Text Solution

    |