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Let  and   be real numbers such that  and . If  and  are non-zero complex numbers satisfying   and , then a quadratic equation having and  as its roots is

a)

b)

c)

d)


Question ID - 104197 | Toppr Answer

Let  and   be real numbers such that  and . If  and  are non-zero complex numbers satisfying   and , then a quadratic equation having and  as its roots is

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

Sum of roots  and product =1

Given,    and

                ...(i)

And    

From Eqs. (i) and (ii), we get

And   

 Required equation is



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