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

Two vertices of a triangle are `(3,-1)a n d(-2,3)` and its orthocentre is at the origin,. Find the coordinates of its third vertex.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2,3) . If the orthocentre is the origin, then the coordinates of the third vertex are|p. (-4,-7) A point on the line x+y=4 which lies at a unit distance from the line 4x+3y=10 is|q. (-7,11) The orthocentre of the triangle formed by the lines x+y-1=0,x-y+3=0,2x+y=7 is|r. (2,-2) If 2a ,b ,c are in A P , then lines a x+b y=c are concurrent at|s. (-1,2)

Two vertices of a triangle are (1,\ 2),\ (3,\ 5) and its centroid is at the origin. Find the coordinates of the third vertex.

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.

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

Two vertices of a triangle are (3,-2) and (-2,3) and its orthocentre is (-6,1) . Then the third vertex of this triangle can not lie on the line

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

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 two vertices of a triangle are (-4,3) and (2,6) If the centroid is at origin then the third vertex is

Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is (2,-1), find the third vertiex.

Two vertives of a triangle are (4,-6,3) and (2,-2,1) and its centroid is (8/3,-1,2) . Find the third vertex.

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. If the straight line x/a+y/b=1 passes through the line point of inters...

    Text Solution

    |

  2. Find the orthocentre of the triangle the equations of whose sides are ...

    Text Solution

    |

  3. Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre i...

    Text Solution

    |

  4. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0. If t...

    Text Solution

    |

  5. Find the equation of the straight line passing through the point of ...

    Text Solution

    |

  6. Show that the line x-y-6=0,4x-3y-20=0 and 6x+5y+8=0 are concurrent. Al...

    Text Solution

    |

  7. Three sides A B ,A Ca n dC A of triangle A B C are5x-3y+2=0,x-3y-2=0a ...

    Text Solution

    |

  8. Find the coordinates of the incentre and centroid of the triangle whos...

    Text Solution

    |

  9. Show that the straight lines given by x(a+2b)+y(a+3b)=a for different ...

    Text Solution

    |

  10. If a ,b ,c are variables such that 3a+2b+4c=0 , then show that the fam...

    Text Solution

    |

  11. If the algebraic sum of the perpendiculars from the points (2,0),(0,2)...

    Text Solution

    |

  12. A ray of light is sent along the line x-2y-3=0 upon reaching the line ...

    Text Solution

    |

  13. lines L1:ax+by+c=0 and L2:lx+my+n=0 intersect at the point P and make ...

    Text Solution

    |

  14. Find the equation of the straight line passing through the point of ...

    Text Solution

    |

  15. Find the equation of the straight line which cuts off intercept on ...

    Text Solution

    |

  16. Find the equation of the straight line passing through the point of ...

    Text Solution

    |

  17. Find the equations of the lines through the point of intersection of t...

    Text Solution

    |

  18. If the diagonals of the quadrilateral formed by lines l1x+m1y+n1=0, l...

    Text Solution

    |

  19. Write the area of the figure formed by the lines a|x|+b|y|+c=0.

    Text Solution

    |

  20. If theta is the acute angle between the lines with slopes m1 and m2 th...

    Text Solution

    |