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Find the orthocentre of the triangle who...

Find the orthocentre of the triangle whose vertices are `(0,0),(3,0),` and `(0,4)dot`

Text Solution

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This is a right- angled (at the origin) triangle. Therefore, the orthocenter is `(0,0)`.
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The distance between the circumcenter and the orthocentre of the triangle whose vertices are (0,0),(6,8), and (-4,3) is Ldot Then the value of 2/(sqrt(5))L is_________

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Knowledge Check

  • Orthocentre of the triangle whose vertices are (0,0) (3,4) and (4,0) is-

    A
    `(3, (3)/(4))`
    B
    `(3, (7)/(3))`
    C
    `(3, (5)/(4))`
    D
    `(5,-2)`
  • The orthocentre of a triangle whose vertices are (0,0),(sqrt3,0) and (0,sqrt6) is

    A
    (2,1)
    B
    (3,2)
    C
    (4,1)
    D
    none of these
  • The distance between the circumcentre and orthocentre of the triangle whose vertices are (0,0),(6,8)and (-4,3) is

    A
    `125/8 `unit
    B
    `sqrt5/2`unit
    C
    `(5sqrt5)/2` unit
    D
    `5sqrt5` unit
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