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ABC is a triangle right angled at A, AB...

ABC is a triangle right angled at `A, AB=2AC, A=(1,2), B (-3,1)`. The vertices of the triangles are in anticlockwise sense. BCEF is a square with vertices in clockwise sense.

A

42

B

51

C

62

D

102

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • ABC is a triangle right angled at A, AB = 2AC. A-= (1, 2), B -= (-3, 1) . ACD is an equilateral triangle. The vertices of two triangles are in anticlockwise sense. BCEF is a square with vertices in clockwise sense. The y-coordinate of the centroid of he square BCEF is

    A
    `-(1)/(4)`
    B
    `-(3)/(4)`
    C
    `-(5)/(4)`
    D
    `-(7)/(4)`

  • If z_(1),z_(2),z_(3) be vertices of an equilateral triangle occurig in the anticlockwise sense, then

    A
    `z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=2(z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1))`
    B
    `1/(z_(1)+z_(2))+1/(z_(2)+z_(3))+1/(z_(3)+z_(1))=0`
    C
    `z_(1)+omegaz_(2)+omega^(2)z_(3)=0`
    D
    none of these

  • If the vertices of a triangle ABC are A(-4,-1), B (1,2), C(4,-3), then the circumcentre of the triangle is the point

    A
    (0, 2)
    B
    (0, -2)
    C
    (-2, 0)
    D
    (2, 0)

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