Home
Class 9
MATHS
(0,0) (3, sqrt3) and (0 , 2sqrt3) are th...

(0,0) `(3, sqrt3)` and `(0 , 2sqrt3)` are the three vertices of a triangle . The distance between the ortho-centre and the cirum-centre of the triangle is `"_______"`. (in units ) .

A

`sqrt3`

B

`sqrt5`

C

`sqrt6`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
(i) The given vertices from an equilateral triangle.
(ii) Given points are the vertices of an equilateral triangle.
(iii) In any equilateral triangle, geomateric centres (expect ex-centre) coincide.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|9 Videos

  • COORDINATE GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 1)|30 Videos

  • BANKING AND COMPUTING

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|6 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION|61 Videos

Similar Questions

Explore conceptually related problems

If A(0,1,2) B(2,-1,3) and C(1,-3,1) are the vertices of a triangle then the distance between circumcentre and orthocentre is

If the vertices of a triangle are (sqrt5,0) and (sqrt3,sqrt2) , and (2,1) then the orthocentre of the triangle is

If points O(0,0) A(3,sqrt(3)) and B(3,a) are the vertices of an equilaterla triangle then a=

Show that (8,2) , (5,-3) and (0,0) are the vertices of an isosceles triangle.

The vertices of a triangle are A(0, 0), B(0, 2) and C(2, 0). The distance between circumcentre and orthocentre is

If the vertices of a triangle are (sqrt(5),0),(sqrt(3),sqrt(2)), and (2,1), then the orthocenter of the triangle is

PEARSON IIT JEE FOUNDATION-COORDINATE GEOMETRY-Level 2
  1. The line 7x + 4y = 28 cuts the coordinate axes at A and B . If O is th...

    Text Solution

    |

  2. If the roots of the quadratic equation x^(2) -5x +6 = 0 are the interc...

    Text Solution

    |

  3. The equation of the line whose x-intercept is 5 , and which is paralle...

    Text Solution

    |

  4. Find the area of the triangle formed by the line 3x - 4y + 12 = 0 with...

    Text Solution

    |

  5. The line joining the points (2m + 2 , 2m) and (2m + 1, 3) passes throu...

    Text Solution

    |

  6. The length (in units ) of the line joining the points (4,3) and (-4,9)...

    Text Solution

    |

  7. The equation of a line parallel to 8x - 3y + 15 = 0 and passing throug...

    Text Solution

    |

  8. (0,0) (3, sqrt3) and (0 , 2sqrt3) are the three vertices of a triangle...

    Text Solution

    |

  9. In a parallelogram PQRS , P(15 ,9) , Q (7 , 10) , R(-5 , -4) , then th...

    Text Solution

    |

  10. If the roots of the quadratic equation 3x^(2) - 2x - 1 = 0 are the int...

    Text Solution

    |

  11. The length (in units ) of a line segment intercepted between the coord...

    Text Solution

    |

  12. If A = (3,-4) , B= (7,0) and C = (14 , -7) are the three consecutive v...

    Text Solution

    |

  13. If A (1,-6) , B= (5,-2) and C = (12 , -9) are the three consecutive ve...

    Text Solution

    |

  14. Find the product of intercepts made by the line 7x - 2y - 14 = 0 with ...

    Text Solution

    |

  15. Find the value of k , if points (-2,5) , (-5 ,-10) and (k , -13) are c...

    Text Solution

    |

  16. The inclination of the line sqrt(3y) - x + 24 = 0 , is "".

    Text Solution

    |

  17. Find the product of intercepts of the line 3x + 8y - 24 = 0.

    Text Solution

    |

  18. Find the value of k , if points (10, 14) , (-3,3) and ( k , 8) are col...

    Text Solution

    |

  19. The inclination of the line y - x + 11 = 0 , is "".

    Text Solution

    |

  20. The equation of a line whose x-intercept is -3 and which is parallel t...

    Text Solution

    |