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ARIHANT MATHS-COMPLEX NUMBERS-Exercise For Session 2
- If (1-ix)/(1+ix)=a-ibanda^(2)+b^(2)=1,where a,b in Randi=sqrt(-1), the...
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- The least positive integer n for which ((1+i)/(1-i))^(n)=(2)/(pi)(sec^...
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- If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Im (z) equals to
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- If (x+iy)^(1//3)=a+ib,"where"i=sqrt(-1),then ((x)/(a)+(y)/(b)) is equa...
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- If (3)/(2+costheta+isintheta)=a+ib"where"i=sqrt(-1)anda^(2)+b^(2)=lamd...
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- lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imagina...
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- The complex number sin(x)+icos(2x) and cos(x)-isin(2x) are conjugate t...
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- If alphaand betaare different complex numbers with |beta|=1,then fin...
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- If x=3+4i find the value of x^4-12x^3-70x^2-204x+225
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- If |z1-1|lt=,|z2-2|lt=2,|z(33)|lt=3, then find the greatest value of |...
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- The principal value of arg (z), where z=1+cos((8pi)/5)+i sin((8pi)/5) ...
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- If |z(1)|=2,|z(2)|=3,|z(3)|=4and|z(1)+z(2)+z(3)|=5. "then"|4z(2)z(3)+9...
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- If |z-i| <= 5 and z1 = 5+3i (where, i = sqrt -1), then greatest and le...
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- If z1,z2 and z3,z4 are two pairs of conjugate complex numbers then arg...
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