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Express 1/(1-costheta+isintheta) in the ...

Express `1/(1-costheta+isintheta)` in the form a+ib

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

If one vertex of a square whose diagonals intersect at the origin is 3(costheta+isintheta) , then find the two adjacent vertices.

If (1+2i)/(2+i)=r(costheta+isintheta) then

If z=3/(2+costheta+isintheta) then show that z lies on a circle in the complex plane

Express the following expression in the form of a+ib . ((3+isqrt(5))(3-isqrt(5))/((sqrt(3) + 2i)-(sqrt(3)-isqrt(2))))

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to

Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-isqrt5))/((sqrt3+sqrt2i)-(sqrt3-isqrt2)

Express (i)/(1+i)+(1-i)/(2i) in the form A + iB. .

(costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If x=-5+2sqrt(-4), find the value of x^2+4.

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  2. Find the sum and product of the two complex numbers z1=2+3i andz=-1+5i...

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  3. Express 1/(1-costheta+isintheta) in the form a+ib

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  4. Find argument of : 1+sqrt2i

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  5. Find argument of : -1+sqrt3i

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  6. Find argument of : -1-sqrt3i

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  7. Find argument of : 1-sqrt3i

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  8. If abs(z+3)le4, then the max. value of absz is

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

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

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

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

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

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

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

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

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

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

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

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