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If z1 = a + ib and z2 = c + id are complex numbers such that

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If z1 = a + ib and z2 = c + id are complex numbers such that |z1| = |z2| = 1 and Re (z1 bar z2)=Q then the pair of complex numbers w1 = a + ic and w2 = b + id satisfies

(a) |w1| = 1

(b) |w2| = 1

(c) Re (w1 bar w2) = 0

(d) None of the above

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1 Answer

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Best answer

The correct option is (a,b,c)

Explanation:

Since, z1 = a+ib and z2 = c+id

⇒ |z1|2 = a2 + b2 = 1 and |z2|2 = c2 + d2 = 1 ........(i)

Therefore, (a), (b), (c) are the correct answers.

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