Home
Class 12
MATHS
A triangle A B C with vertices A(-1,0),B...

A triangle `A B C` with vertices `A(-1,0),B(-2,3/4),` and `C(-3,-7/6)` has its orthocentre at `Hdot` Then, the orthocentre of triangle `B C H` will be `(-3,-2)` (b) `1,3)` `(-1,2)` (d) none of these

A

`(-3,-2)`

B

`(1,3)`

C

`(-1,2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D

The orthocenter of triangle BCH is the vertex `A(-1,0)`.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Comprehension)|10 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.6|9 Videos
  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

A triangle ABC with vertices A(-1,0),B(-2,3/4)EC(-3,-7/6) has its orthocentre

area of the triangle with vertices A(3,4,-1), B(2,2,1) and C(3,4,-3) is :

The area of the triangle with vertices A(3,4,-1),B(2,2,1) and C(3,4,-3) is :

If a Delta ABC has vertices A ( - 1,7) , B (-7,1) and C(5,-5) then its orthocentre has coordinates :

The orthocentre of the triangle formed by A(1,2), B(-2,2), C(1,5) is

Centroid of Delta ABC with the vertices A(6,3) , B(1,-4) and C(-2,7) is

Find the orthocentre of Delta ABC with vertices A(1,0),B(-2,1), and C(5,2)

The orthocentre of triangle ABC where vertices are A(-1,7), B(-7,1), C(5,-5) is

If vertices of a triangle ABC are A(1,2),B(3,4) and C(-5,3) and its orthocentre is O, then reflecton of orthocentre of triangle OBC w.r.t.line y=x will be (a,b) then a+b is equal to

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (1/2,2/3) (b) (1/3,2/3) (2/3,1) (d) none of these

CENGAGE-COORDINATE SYSYEM -Exercise (Single)
  1. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

    Text Solution

    |

  2. In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0)...

    Text Solution

    |

  3. A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has i...

    Text Solution

    |

  4. If a triangle A B C ,A-=(1,10), circumcenter -=(-1/3,2/3), and orthoce...

    Text Solution

    |

  5. In the DeltaABC, the coordinates of B are (0, 0), AB=2, /ABC=pi/3 and ...

    Text Solution

    |

  6. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

    Text Solution

    |

  7. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  8. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

  9. A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), a...

    Text Solution

    |

  10. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

    Text Solution

    |

  11. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

    Text Solution

    |

  12. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |

  13. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  14. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  15. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  16. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  17. Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...

    Text Solution

    |

  18. if Sigma(i=1)^(4)(x(i)^(2)+y(i)^(2))le 2x1x3+2x2x4+2y2y3+2y1y4, the po...

    Text Solution

    |

  19. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |

  20. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

    Text Solution

    |