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`        If z1 z2 are two non real complex numbers Z1+z2 and z1z2 are real numbers then z1=  `
21 days ago

```							Dear student What you want to ask is not clear , Please attach an image of the question , so that we can help Good Luck
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21 days ago
```							this ques is very easy.let z1= x1 + iy1and z2= x2 + iy2then z1+z2= (x1+x2) + i(y1+y2)which is real when y1+y2= 0 or y2= – y1also, z1*z2= (x1 + iy1)(x2 – iy1)= x1x2 – ix1y1 + iy1x2 + y1^2= x1x2+y1^2 + iy1(x2 – x1)which is real when y1(x2 – x1)= 0obviously y1 cannot be 0 as z1 and z2 are non reals.so, (x2 – x1)= 0or x1= x2so, z1= x1 + iy1and z2= x1 – iy1so that z1 = conjugate (z2).so, z1 and z2 are conjugate pairs of each other.kindly approve :=))
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17 days ago
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