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Convert of the complex number in the po...

Convert of the complex number in the polar form: `1-i`

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To convert the complex number \(1 - i\) into polar form, we will follow these steps: ### Step 1: Identify the real and imaginary parts The complex number can be expressed as: \[ z = 1 - i \] Here, the real part \(x = 1\) and the imaginary part \(y = -1\). ...
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NCERT ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Solve the equation: x^2 + x/sqrt2 + 1 =0

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  2. If (a" "+" "i b)" "(c" "+" "i d)" "(e" "+" "if)" "(g" "+" "i h)" "=" "...

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  3. Convert of the complex number in the polar form: 1-i

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  4. Let z1=2-i ,z2=-2+i. Find (i) Re ((z1z2)/( bar z1)) (ii) Im(1/(z1 b...

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  5. Find the modulus and argument of the complex number (1+2i)/(1-3i).

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  6. If z1=2-i ,z2=1+i ,find |(z1+z2+1)/(z1-z2+i)|

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  7. If a + i b =((x+i)^2)/(2x^2+1),prove that a^2+b^2=((x^2+1)^2)/((2x^2+...

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  8. Convert of the complex number in the polar form: i

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  9. If alphaand betaare different complex numbers with |beta|=1,then fin...

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  10. Find the real numbers x and y if (x-i y)(3+5i) is the conjugate of -6...

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  11. Find the modulus of (1+i)/(1-i)-(1-i)/(1+i).

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  12. Convert of the complex number in the polar form: -1-i

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  13. Find the modulus and the arguments of the complex number z = - 1 - is...

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  14. Find the modulus and the arguments of the complex number z=-sqrt(3)+i

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  15. Convert the complex number z=(i-1)/(cospi/3+isinpi/3)in the polar form...

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

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  17. If x + i y =(a+i b)/(a-i b),prove that x^2+y^2=1.

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  18. Find the modulus and argument of the complex numbers : (i) (1+i)/(1-i...

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  19. Find the conjugate of ((3-2i)(2+3i))/((1+2i)(2-i)).

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  20. Solve: sqrt(5)x^(2) + x + sqrt(5) = 0

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