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Let  and  be the roots of the equation  where  are real. The points represented by  and the origin form an equilateral triangle, if

a)

b)

c)

d)


Question ID - 104044 | Toppr Answer

Let  and  be the roots of the equation  where  are real. The points represented by  and the origin form an equilateral triangle, if

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (a) -

(a)

We have,     and let

Let 

And   

Further, let  and  be the affixes of points  and  respectively. Then,

And    

 is an equilateral triangle.

Thus,  



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