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If one vertex of an equilateral triangle...

If one vertex of an equilateral triangle of side a lies at the origin and the other lies on the line `x=sqrt(3)y` then the third vertex is

A

(0,a)

B

`(sqrt3/2a,-a/2)`

C

(0,-a)

D

`((-sqrt3)/2a,a/2)`

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1 , then the orthocentre of te triangle is

    A
    `(1/2,1/2)`
    B
    `((sqrt(2))/3,(sqrt(2))/3)`
    C
    `(1/3,1/3)`
    D
    `(2/3,2/3)`

  • If 2 vertices of a triangle are (-2,3) and (5-1), orthocenter lies at the origin and centered on the line x+y=7 then the 3rd vertx lies at

    A
    (7,4)
    B
    (8,14)
    C
    (12,21)
    D
    `(64/11,102/11)`

  • The area of an equilateral triangle formed by the lines passing through the origin and the line 12x-5y + 13 = 0

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