Home
Class 9
MATHS
It is known that if x + y = 10 then x + ...

It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is :

A

First Axiom

B

Second Axiom

C

Thrid Axiom

D

Fourth Axiom

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO EUCLID'S GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|86 Videos

  • HERON'S FORMULA

    MODERN PUBLICATION|Exercise EXERCISE|69 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    MODERN PUBLICATION|Exercise EXERCISE|151 Videos

Similar Questions

Explore conceptually related problems

It is known that x+y=10 and that x=z. show that z+y=10?

Factorise : z – 7 + 7 x y – x y z

The plane 2x - y + 4z = 5 , 5x - 2.5y + 10z = 6 are :

The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

The distance between the planes 3x + 2y - 6z - 18 = 0 and 3x + 2y - 6z + 10 = 0 is

Minimize z = 2x + 3y , such that 1 le x + 2y le 10, x ge 0, y ge 0 .

Statement I If tan^(-1) x + tan^(-1) y = pi/4 - tan^(-1) z " and " x + y + z = 1 , then arithmetic mean of odd powers of x, y, z is equal to 1/3 . Statement II For any x, y, z we have xyz - xy - yz - zx + x + y + z = 1 + ( x - 1) ( y - 1) ( z - 1)

Find lambda and mu so that the simultaneous equations x+y+z= 6, x + 2y + 3z = 10, x + 2y + lambda z = mu have infinite number of solutions.

Maximize z = 5x + 7y such that 2x + y ge 8, x + 2y ge 10 x, y ge 0 .

MODERN PUBLICATION-INTRODUCTION TO EUCLID'S GEOMETRY-EXERCISE
  1. A pyramid is solid figure, the base of which is :

    Text Solution

    |

  2. The side faces of a pyramid are :

    Text Solution

    |

  3. It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s a...

    Text Solution

    |

  4. In ancient India, the shapes of altrars used for house hold rituals we...

    Text Solution

    |

  5. The number of interwoven isosceles triangles in Sriyantra (in the Atha...

    Text Solution

    |

  6. Greek’s emphasised on :

    Text Solution

    |

  7. In Ancient India, Altars with combination of shapes like rectangles, ...

    Text Solution

    |

  8. Euclid belongs to the country :

    Text Solution

    |

  9. Thales belongs to the country :

    Text Solution

    |

  10. Pythagoras was a student of :

    Text Solution

    |

  11. Which of the following needs a proof ?

    Text Solution

    |

  12. Euclid stated that all right angles are equal to each other in the for...

    Text Solution

    |

  13. Lines are parallel if they do not intersect is stated in the form of :

    Text Solution

    |

  14. If the lines AB and AC are parallel to a line l, show that the points ...

    Text Solution

    |

  15. How would you rewrite Euclid’s fifth postulate so that it would be eas...

    Text Solution

    |

  16. In the fig. AX=1/2AB,AY=1/2AC and AX=AY, prove that AB=AC

    Text Solution

    |

  17. Two distinct lines in a plane can have two points in common.

    Text Solution

    |

  18. It is known that x+y=10 and that x=z. show that z+y=10?

    Text Solution

    |

  19. Look at the figures. Show that the length AH> sum of lenghts of AB+BC+...

    Text Solution

    |

  20. In fig. angleABC=angleACB and angle3=angle4. Prove that angle1=angle2

    Text Solution

    |