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Let a,b in R and a^(2)+b^(2) ne 0. Sup...

Let `a,b in R` and `a^(2)+b^(2) ne 0`.
Suppose `S={z in C:z=(1)/(a+ibt),t in R,t ne 0}`, where `i=sqrt(-1)`. If z=x+iy and `z in S`, then (x,y) lies on

A

the circle with radius `(1)/(2a)` and centre `((1)/(2a),0)" for " a gt 0,b ne 0`

B

the circle with radius ` - (1)/(2a) ` and centre ` (-(1)/(2a),0) " for " a lt 0 , b ne 0 `

C

the x-axis for ` a ne 0 ,b= 0 `

D

`the y-axis for a = 0 , ` ne ` 0

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B, C
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  8. If z(1)=p+iq and z(2) = u = iv are complex numbers such that |z(1)|=...

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  9. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  14. Let a complex number alpha,alpha!=1, be a rootof hte euation z^(p+q)-z...

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  15. If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...

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  16. If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...

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  17. Express 1//(1-costheta+2isintheta) in the form x=i y .

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