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Let f(x) be a real valued function such ...

Let f(x) be a real valued function such that the area of an equilateral triangle with two of its vertices at (0, 0) and (x, f(x)) is `(sqrt(3))/(4)` square units. Then
Perimeter of the equilateral triangle is

A

1

B

3

C

6

D

`3sqrt(3)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let f(x) be a real valued function such that the area of an equilateral triangle with two of its vertices at (0, 0) and (x, f(x)) is (sqrt(3))/(4) square units. Then f(x) is given by

    A
    `sqrt(2-x^(2))`
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    C
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    A
    `[1, oo)`
    B
    `[-oo, 1)`
    C
    `(-1, 1)`
    D
    `[-1, 1]`
  • Let g(x) be a function defined on [-1,1]. If the area of the equilateral triangle with two of its vertices at (0,0) and (x,g(x)) is (sqrt(3))/(4) , then the function g(x) , is

    A
    `pm sqrt(1-x^(2))`
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