If a and b are real numbers between 0 and 1 such that the points (a,1),(1,b) and (0,0) from an equilateral triangle, then a=b=2−√3.
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Q2
If a and b are real number between 0 and 1 such that the points z1=a+i,z2=b+iandz3=0 form an equilateral triangle, then
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Q3
If a and b are real numbers between 0 and 1 such that points z1=1+ib and z2=a+i and z3=0 form an ,equilateral triangle then ordered pair (a, b) is given by
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Q4
The origin and the roots of the equation x2+ax+b = 0 form an equilateral triangle, if :
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Q5
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, find a and b.