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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
- Express ((a+ib)/(a-ib))+((a-ib)/(a+ib)) in the form of a +ib
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- ((2+3i)/(2-3i))-((2-3i)/(2+3i)) in the form of a + ib
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- Express 1/(1-costheta+isintheta) in the form of a + ib
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- Express 1/(1+cos2theta+isin2theta) in the form of x + iy
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- Express 1/(1+cos2theta-isin2theta) in the form of x + iy
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- Express (4+3i)/((2+3i)(4-3i)) in the form of x + iy
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- 1/(i-1)+1/(i+1) is
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- ((1+i)/(1-i))^4+((1-i)/(1+i))^4=
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- The modulus of (-5,12) is
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- The modulus of (-5,12) is
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- The modulus of (5+4i)/(1+i) is
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- The modulus of ((3+i)(2-i))/(1+i) is
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- The modulus of (sqrt(3)+i)/((1+i)(1+sqrt(3)i)) is
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- |1+costheta+isintheta|=
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- If theta is real then the modulus of 1/(1+costheta+isintheta) is
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- |1/((2+i)^2)-1/((2-i)^2)|=
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- If alphaand beta are real them |(alpha+i beta)/(beta+ialpha)|=
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- The conjugate of (2,-3)+(3,4) is
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- The conjugate of (1+2i)(2-3i) is
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- The conjugate of costheta-isintheta is
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