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The medians AD and BE of the triangle wi...

The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) and C(a, 0) are mutually perpendicular if

A

`b = sqrt2a`

B

`a = sqrt2a`

C

`b = -sqrt2a`

D

`a = 5sqrt2b`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The perimeter of the triangle with vertices at (1, 0,0 ), (0,1,0 ) and (0,0,1 ) is :

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    3
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    2
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    `2sqrt(2)`
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    2
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    `3sqrt(2)`
  • The incentre of DeltaABC with vertices A(0,0,4), B(3,0,4), C(0,4,4) is

    A
    (1,1,1)
    B
    (1,1,2)
    C
    (1,1,13)
    D
    (1,1,4)
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