Home
Class 12
MATHS
Two vertices of a triangle are (5,-1) an...

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.

A

(4,7)

B

(3,7)

C

(-4,-7)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II|20 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise COMPREHENSIONS|9 Videos
  • STRAIGHT LINE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level - II|14 Videos
  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 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 (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 have coordinates (-8,7) and (9,4). If the centroid of the triangle is at the origin,what are the coordinates of the third vertex?

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

FIITJEE-STRAIGHT LINE -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots then ...

    Text Solution

    |

  2. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

  5. If A(cosalpha, sinalpha),B(sinalpha- cosalpha) , C (2,1) are the verti...

    Text Solution

    |

  6. The straight line y = x - 2 rotates about a point where it cuts x-axis...

    Text Solution

    |

  7. It is desired to construct a right angled triangle ABC (/C= pi/2) in x...

    Text Solution

    |

  8. If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 pass...

    Text Solution

    |

  9. Prove that the area of the parallelogram formed by the lines xcosalpha...

    Text Solution

    |

  10. Consider the equation y - y(1) = m(x - x(1)). If m and different lines...

    Text Solution

    |

  11. The medians A D\ a n d\ B E of a triangle with vertices A(0, b),\ B(0,...

    Text Solution

    |

  12. If DeltaOAB is an equilateral triangle (O is the origin and A is a poi...

    Text Solution

    |

  13. Let 2x - 3y = 0 be a given line and P (sintheta, 0) and Q(0, costheta)...

    Text Solution

    |

  14. The sides of a rhombus ABCD are parallel to the lines x−y+2=0 and 7x−y...

    Text Solution

    |

  15. If the lines ax+12y+1=0 bx+13y+1=0 and cx+14y+1=0 are concurrent then ...

    Text Solution

    |

  16. The equations of the lines through (-1,-1) and making anlge 45^@ with ...

    Text Solution

    |

  17. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

    Text Solution

    |

  18. The locus of a point P which divides the line joining (1,0) and (2 cos...

    Text Solution

    |

  19. In an isosceles right angled triangle , a straight line drwan from the...

    Text Solution

    |

  20. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradien...

    Text Solution

    |