Home
Class 11
MATHS
Two vertices of a triangle are (3,1) (-6...

Two vertices of a triangle are (3,1) (-6,5) and the centroid is at the origin. Find the third vertex of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
(3,-6)
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE (6.1)|17 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE (6.2)|29 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise CHOOSE THE CORRECT ANSWER|62 Videos

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Choose Correct Option|38 Videos

Similar Questions

Explore conceptually related problems

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at (a) (7,4) (b) (8,14) (c) (12 ,21) (d) none of these

The midpoint of the sides of a triangle are (2,4) (-2,3) and (5,2) .Find the corrdinate of the vertices of the triangle .

Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of the triangle is the origin, find the coordinates of the third point.

If the centroid of a triangle is at (10,-1) and two vertices are (3,2) and (5,-11). Find the third vertex of a triangle .

If the centroid of a triangle is at (4,-2) and two of its vertices are (3,-2) an (5,2) then find the third vertex of the triangle .

If the centroide of a triangle is at (4,-2) and two of its vertices are (3,-2) and ( 5,2) then find the thrid vertex of the triangle .

Two vertices of an equilateral triangle are (0,0) and ( 3, sqrt(3) ) then the third vertex can be

The vertices of a triangle are (1,2),(h-3) and (-4,k) . If the centroid of the triangle is at the point (5,-1) then find value of sqrt((h+k)^(2) + (h+3k)^(2))

The vertices of a triangle are (1,2), (h-3), and (-4,k). If the centroid of triangle is at the points (5,-1) then find the value of sqrt((h+k)^(2)+(h+3k)^(2))

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)
  1. Two vertices of a triangle are (3,1) (-6,5) and the centroid is at the...

    Text Solution

    |

  2. If P(a,b) is the mid point of a line segment between the axes, then:

    Text Solution

    |

  3. The normal form of sqrt3x+y=4 is:

    Text Solution

    |

  4. If (7,x) (-3,3) (2,2) are collinear then the value of x is:

    Text Solution

    |

  5. If theta is a parameter, then the locus of a moving point whose coordi...

    Text Solution

    |

  6. The line which is perpendicular to 3x-4y+1=0 is:

    Text Solution

    |

  7. The line 2x+3y=5,2x+y=k,2x-y-1=0

    Text Solution

    |

  8. The line a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular i...

    Text Solution

    |

  9. The perpendicular distance from (1,2) to the line 5x+12y-3=0 is:

    Text Solution

    |

  10. Find the nearest point on the line 3x+y=10 from the origin is:

    Text Solution

    |

  11. The condition that the pair of straight lines ax^(2)+2xy+by^(2)=0 are ...

    Text Solution

    |

  12. Figure

    Text Solution

    |

  13. Find the incorrect statement:

    Text Solution

    |

  14. Find the incorrect statement:

    Text Solution

    |

  15. Find the correct statement:

    Text Solution

    |

  16. Find the correct statement:

    Text Solution

    |

  17. Find the odd one out:

    Text Solution

    |

  18. Find the odd one out:

    Text Solution

    |

  19. The locus of a moving point P(a cos^(3)theta,a sin^(3)theta) is:

    Text Solution

    |

  20. AB=12cm. Ab sides with A on x-axis, B on y-axis respectively. Then the...

    Text Solution

    |

  21. The equating straight line with y-intercept -2 and inclination with x-...

    Text Solution

    |