Home
Class 12
MATHS
The vertices of a triangle are at (0,0),...

The vertices of a triangle are at `(0,0),(a, 0)` and `(0, b) .` The distance between the circumcentre and the orthocentre is

A

`sqrt(a^(2)+b^(2))`

B

`(1)/(2) sqrt(a^(2)+b^(2))`

C

`(sqrt(a^(2)+b^(2)))/(sqrt(2))`

D

`(1)/(4) sqrt(a^(2)+b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

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

Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, 5). The distance between circumcentre and orthocentre is :

The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance between its circumcentre and centroid is :

The vertices of triangle ar (6,0),(0,6) and (6,6). The distance between its circumcentre and cenroid is

The vertices of a triangle are (0, 0), (3, 0) and (0, 4). Its orthocentre is at:

The vertices of a triangle are (0,3),(-3,0) and (3,0) . The coordinates of its orthocentre are

Find the area of the triangle vertices are (0, 0), (3, 0) and (0, 2)

The Vertices of a triangle are (8,-4) ,(9,5) and (0,4) Prove that triangle is an isoscele triangle .

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. If the point P (x, y) is equidistant from the points A (a + b, b - a) ...

    Text Solution

    |

  2. If the points (a^(2), 0),(0, b^(2)) and (1,1) are collinear then

    Text Solution

    |

  3. The vertices of a triangle are at (0,0),(a, 0) and (0, b) . The distan...

    Text Solution

    |

  4. The number of points equidistant to three given distinct non-collinear...

    Text Solution

    |

  5. The points Q, R and S lie on the line joining P(a, x) and T(b, y) such...

    Text Solution

    |

  6. The x-co-ordinate of the incentre of the triangle that has the co-ordi...

    Text Solution

    |

  7. The area of the figure formed by a|x|+b|y|+c=0 is

    Text Solution

    |

  8. Area of the parallelogram formed by the lines 2 x-3 y+a=0,3 x-2 y-a=0,...

    Text Solution

    |

  9. The inclination of the line x-y+3=0 with the positive direction of x-a...

    Text Solution

    |

  10. The two lines a x+b y=c and a^(prime) x+b^(prime) y=c^(') are perpendi...

    Text Solution

    |

  11. The equation of the line passing through (1, 2) and perpendicular to x...

    Text Solution

    |

  12. The distance of the point P(1,-3) from the line 2 y-3 x=4 is

    Text Solution

    |

  13. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  14. The intercept cut off by a line from y-axis is twice than that of from...

    Text Solution

    |

  15. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

  16. The reflection of the point (4, -13) in the line 5x+y+6=0 is :

    Text Solution

    |

  17. A point moves such that its distance from the point (4,0) is half that...

    Text Solution

    |

  18. A line cutting off intercept -3 from the y -axis and the tangent of th...

    Text Solution

    |

  19. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  20. The equation of the line passing through the point (3,2) and perpendic...

    Text Solution

    |