Home
Class 11
MATHS
Two vertices of a triangle are (5,-1) a...

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

Text Solution

Verified by Experts

The correct Answer is:
`A=(-4,-7)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|12 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE 3.1 (VERY SHORT ANSWER QUESTIONS)|11 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

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

Two vertices of a triangle are (3 , 5) and ( - 4 , -5) . If the centroid of the triangle is (4 , 3), find the third vertex.

Two vertice of a triangle are (3,-2) and (-6,1). Then its third vertexis

Two verticess of a Triangle are (1,3) and (4,7) the orthocentre lies on the line x+y=3. the locus of third vertx is

If 2 vertices of a triangle are (-2,3) and (5-1), orthocenter lies at the origin and centered on the line x+y=7 then the 3rd vertx lies at

The vertices of a triangle are (2, 4), (4, -2), (-3, -6). Then the origin lies

Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1 , then the locus of the vertex C is the line

Two vertices of a triangle are ( 3 , 2) , ( - 2 , 1) and its centroid is ((5)/(3),-(1)/(3)) . Find the third vertex of the triangle .

The base of a triangle lies along the line x=a and is of length a. The area of the triangle is a^2. The locus of the third vertex is

AAKASH SERIES-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the orthocentre of the triangle formed by x+y+10=0,x-y-2=0, 2x+y-...

    Text Solution

    |

  2. Find the orthocentre of the triangle formed by the lines x+2y=0,4x+3y=...

    Text Solution

    |

  3. Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre ...

    Text Solution

    |

  4. Find the circumcentre of the triangle formed by the points (2,1),(1,-2...

    Text Solution

    |

  5. Find the circumcentre of the triangle whose vertices are A(1,0),B(-1,2...

    Text Solution

    |

  6. Find the circumcentre of the triangle formed by the lines x+y=0, 2x+y+...

    Text Solution

    |

  7. Find the circumcentre of the triangle whose sides are 3x-y-5=0, x+2y-4...

    Text Solution

    |

  8. Find the incenter of the triangle formed by the straight lines y=sqrt(...

    Text Solution

    |

  9. Find the incentre of the triangle formed by x+y-7=0,x-y+1=0,x-3y+5=0.

    Text Solution

    |

  10. A triangle is formed by the lines ax+by+c=0, lx+my+n=0 and px+qy+r=0. ...

    Text Solution

    |

  11. The Cartesian equation of the sides BC,CA, AB of a triangle are respec...

    Text Solution

    |

  12. Find the acute angle between the lines y+2=0 and sqrt(3)x+y-1=0.

    Text Solution

    |

  13. Find the value of k if the lines 2x+ky-10=0 and 5x+2y-7=0 are parallel...

    Text Solution

    |

  14. Find the value of k if the lines (3x+4y+5)-k(x+y+3)=0 is (i) paral...

    Text Solution

    |

  15. The lines 3x-ky-2=0 and 2x+y+2=0 are perpendicular find k.

    Text Solution

    |

  16. The angle between the lines 3x-y-1=0 and 2x+ky+5=0 is 45^(@) find k

    Text Solution

    |

  17. Find the angles of the triangle whose sides are x+y-4=0, 2x+y-6=0, 5x+...

    Text Solution

    |

  18. If the four straight lines ax+by+p=0, ax+by+q=0, cx+dy+r=0 and cx+dy+s...

    Text Solution

    |

  19. Find the foot of the perpendicular drawn from (-1,3) on the line 5x-y-...

    Text Solution

    |

  20. Show that the feet of the perpendicular from (-2,-8) to the lines x-2y...

    Text Solution

    |