JEE Advance - Mathematics (1989 - No. 9)
If $$a,\,b,\,c,$$ are the numbers between 0 and 1 such that the ponts $${z_1} = a + i,{z_2} = 1 + bi$$ and $${z_3} = 0$$ form an equilateral triangle,
then a= .......and b=..........
then a= .......and b=..........
a = 2 - √3, b = 2 - √3
a = 1, b = 1
a = √3 - 1, b = √3 - 1
a = 0.5, b = 0.5
a = √2, b = √2
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