Home
Class 14
MATHS
Two vertices of a triangle ABC are B(5,-...

Two vertices of a triangle ABC are B(5,-1) and C(-2,3) .If the orthocentre of the triangle is the origin , find the thrid vertex.

A

`(7/2.(13)/2)`

B

`(3/2, (11)/2)`

C

(-4, -7)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CI/ SI/ INSTALMENTS

    QUANTUM CAT|Exercise QUESTION BANK |99 Videos
  • ELEMENTS OF ALGEBRA

    QUANTUM CAT|Exercise QUESTION BANK|196 Videos

Similar Questions

Explore conceptually related problems

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

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 (5,-1) and (-2,3) .The orthocenter of the triangle is the origin. If the third vertex is (lambda,mu) then the value of 7 lambda-4 mu is

Two vertices of a triangle are (4,-5) and (-5,-2). If the centroid of the triangle of the origin determine the third vertex of the triangle.

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,-1) and (-2,3) and its orthocentre is at the origin..Find the coordinates of eth third vertex.

Two vertices of a triangle ABC are B (- 3,1) and C (0,-2) and its centroid is at the origin. The third vertex A is:

Two vertices of a triangle are (1,3) and (4,7). The orthocentre lies on the line x+y=3 The locus of the third vertex is

QUANTUM CAT-CO-ORDINATE GEOMETRY-QUESTION BANK
  1. Find the equation of the line through the point of intersection of 2x ...

    Text Solution

    |

  2. Find the equation of the line which passes through the point of inters...

    Text Solution

    |

  3. Find the equation of the line which passes through the point of inters...

    Text Solution

    |

  4. Find the equation of the line through the intersection of the lines 3x...

    Text Solution

    |

  5. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  6. A straight line x/a -y/b =1 passes through the point (8,6) and cuts of...

    Text Solution

    |

  7. Find the equations of the bisectors of the angle between the straight ...

    Text Solution

    |

  8. Find the area of the triangle formed by the straight lines whose equat...

    Text Solution

    |

  9. Find the coordinates of the orthocentre of the triangle whose vertices...

    Text Solution

    |

  10. Two vertices of a triangle ABC are B(5,-1) and C(-2,3) .If the orthoce...

    Text Solution

    |

  11. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

    Text Solution

    |

  12. A straight line L is perpendicular to the line 5x -y =1 . The area of ...

    Text Solution

    |

  13. (1,2) and (3,8) are a pair of a opposite vertices of square. Find the ...

    Text Solution

    |

  14. The number of integral points (integral point means both the coordinat...

    Text Solution

    |

  15. The area of a circle whose radius is the diagonal of a square whose ar...

    Text Solution

    |

  16. The diagonals of a parallelogram PQRS are along the lines x+3y=4 and 6...

    Text Solution

    |

  17. What is the minimum value of |c|, if the lines y=mx+4, x=m+c and y=3 ...

    Text Solution

    |

  18. Two points (1,1) and (1,5) lie on the circumference of a circle. Which...

    Text Solution

    |

  19. Consider four circles (x+-1)^2+(y+-1)^2=1. Find the equation of larger...

    Text Solution

    |

  20. What's the area of a triangle whose coordinates are (-7,4),(3,-2),(-1,...

    Text Solution

    |