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a and b are real numbers between 0 and 1...

a and b are real numbers between 0 and 1 `A(a,1),B(1,b)and C(0,0)` are the vertices of a triangle.
If `DeltaABC` is equilateral its area is

A

`(7sqrt3+12)/(4)`

B

`(8sqrt3-12)/(4)`

C

`(sqrt3)/(4)`

D

`(sqrt3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • a and b are real numbers between 0 and 1 A(a,1),B(1,b)and C(0,0) are the vertices of a triangle. If angleC=90^(@) then

    A
    `a+b=0`
    B
    `a-b=0`
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  • a and b are real numbers between 0 and 1 A(a,1),B(1,b)and C(0,0) are the vertices of a triangle. If DeltaABC is isosceles with AC=BC and 5(AB)^(2)=2(AC)^(2) then

    A
    `ab=1/4`
    B
    `ab=1/8`
    C
    `ab=1/16`
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    `ab=1/2`
  • If a and b are real numbers between 0 and 1 such that the points (a,1),(1,b) and (0,0) form an equilateral triangle, then a,b are

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