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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
- If under root of (a+i b)/(c+i d)=x+i y , Prove (a^2+b^2)/(c^2+d^2)=(x...
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- Find real values of x and y for which the complex numbers -3+i x^2y ...
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- Find the real values of x and y for which (1+i)y^2+(6+i)=(2+i)x
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- Find the real values of xa n dy , if (3x-7)+2i y=-5y+(5+x)i
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- If (x+i y)^(1//3)=a+i b ,x ,y ,a b in Rdot Show that x/a+y/b=4(a^2-b^...
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- If a+i b=(c+i)/(c-i) , where c is real, prove that:a^2+b^2=1 and b/a=(...
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- Evaluate the following: i^(135)
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- Evaluate the following: i^(19)
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- Evaluate the following: i^(-999)
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- Evaluate the following: \ (-sqrt(-1))^(4n+3), ninNN
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- Evaluate the following: i^(457)
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- Evaluate the following: \ i^(528)
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- Evaluate the following: 1/i^58
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- Evaluate the following: (i^(41)+\ 1/i^257)^9
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- Evaluate the following: \ (i^(77)+i^(70)+i^87+i^(414))^3
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- Evaluate the following: i^(30)+i^(40)+i^(60)
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- Evaluate the following: i^(49)+i^(68)+i^(89)+i^(110)
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- Compute the following: sqrt(-144)
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- Compute the following: sqrt(-4)xxsqrt((-9)/4)
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- Compute the following: sqrt(-25)+3sqrt(-4)+2sqrt(-9)
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