Home
Class 14
MATHS
If x^(2) + y^(2) + z^(2) = xy + yz + zx ...

If `x^(2) + y^(2) + z^(2) = xy + yz + zx` , then the triangle is :

A

isosceles

B

right angled

C

equilateral

D

scalene

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|54 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos

  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+y^(2)+z^(2)=1 then xy+yz+zx lies in

If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0 , then the value of ((x+y)^(2))/(xy)+((y+z)^(2))/(yz)+((z+x)^(2))/(zx) is

ARIHANT SSC-GEOMETRY-EXERCISE(LEVEL 2)
  1. There are two congruent triangles each with area 198 cm^(2)?. Triangle...

    Text Solution

    |

  2. What is the sum of all the angles of a 9 pointed star ("i.e., "angle1 ...

    Text Solution

    |

  3. A circle is circumscribed by the rhombus which in turn is made up by j...

    Text Solution

    |

  4. There are n rectangles each with area 200 cm^(2). If the dimensions of...

    Text Solution

    |

  5. There are 8 points in a plane out of which 4 are collinear. How many t...

    Text Solution

    |

  6. ABC is an isosciles triangle a circle is such that it parses though ve...

    Text Solution

    |

  7. A smaller circle touches internally to a larger circle at A and passes...

    Text Solution

    |

  8. In the given figure ADEC is a cyclic quadrilateral, CE and AD are exte...

    Text Solution

    |

  9. In the following diagram A and B are the centres of the two different ...

    Text Solution

    |

  10. In the following diagram A and B are the centres of the two different ...

    Text Solution

    |

  11. If x^(2) + y^(2) + z^(2) = xy + yz + zx , then the triangle is :

    Text Solution

    |

  12. In the adjoining figure ABCD is a rectangle in which length is twice o...

    Text Solution

    |

  13. In the adjoining figure there are two congruent regular hexagons each ...

    Text Solution

    |

  14. ABCD is a square, in which a circle is inscribed touching all the side...

    Text Solution

    |

  15. In the adjoining figure angleACE is a right angle there are three circ...

    Text Solution

    |

  16. In a right angle triangle ABC, angleA is right angle DE is parallel to...

    Text Solution

    |

  17. In the given figure, P and Q are the mid points of AC and AB also PG =...

    Text Solution

    |

  18. A trapezium PQRS inscribes a circle which touches the circle at M, A, ...

    Text Solution

    |

  19. In the given diagram, river PQ is just perpendicular to the national h...

    Text Solution

    |

  20. In a triangle ABC, AD is the angle bisector of angleBAC and angleBAD=6...

    Text Solution

    |