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If z=x-iy and z^(1/3)=p+iq then (x/p+y/q...

If z=x-iy and `z^(1/3)=p+iq` then `(x/p+y/q)/(p^2+q^2)` is equal to

A

1

B

(-1)

C

2

D

(-2)

Text Solution

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The correct Answer is:
D
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If abs(z+3)le4, then the max. value of absz is

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  3. If z=x-iy and z^(1/3)=p+iq then (x/p+y/q)/(p^2+q^2) is equal to

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  4. Represent the given complex numbers in polar form : i(1-isqrt3)=i-i^...

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  5. Represent the given complex numbers in polar form : sinalpha-icosalp...

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  6. If z1 andz2 be two complex numbers such that abs((z1-2z2)/(2-z1barz2))...

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  7. If in argand plane the vertices A,B,C of an isoceles triangle are rep...

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  8. Find the square root of -7-24i

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  9. If xr = cos(pi/3^r)+isin (pi/3^r) : prove that x1x2x3....upto infinity...

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  10. if alpha, beta, gamma are roots of x^3-3x^2+3x+7=0, then find (alpha-1...

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  11. If alpha1,alpha2....alpha(n-1) are the nth roots of unity then show th...

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  12. Show that the points represented by complex numbers (3+2i),(2-i),-7i a...

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  13. Find the centre and radius of circle 2absz^2+(3-i)z +(3+i)barz-7=0

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  14. Find all the circles which are orthogonal to absz=1 and abs(z-1)=4

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  15. If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...

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  16. If 4x+i(3x-y)=3+i(-6), where x and y are real numbers, then find the v...

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  17. Find the multiplicative inverse of 2-3i.

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  18. Convert the complex number (-16)/(1+isqrt3) into polar form.

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  19. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

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  20. Convert the complex number z=(i-1)/(cos(pi/3)+isin(pi/3)) in the polar...

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