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Express of the complex number in the for...

Express of the complex number in the form `a+ib`.
`[(1/3+i7/3)+(4+i1/3)]-(-4/3+i)`

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To express the complex number \([(1/3+i7/3)+(4+i1/3)]-(-4/3+i)\) in the form \(a + ib\), we will follow these steps: ### Step 1: Simplify the expression We start with the expression: \[ \left(\frac{1}{3} + i\frac{7}{3}\right) + \left(4 + i\frac{1}{3}\right) - \left(-\frac{4}{3} + i\right) \] ...
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NCERT ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Express of the complex number in the form a + i b. i + i

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  2. Express of the complex number in the form a + i b. (5i)(-3/5i)

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  3. Express of the complex number in the form a+ib. [(1/3+i7/3)+(4+i1/3)]...

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  4. Express of the complex number in the form a + i b. (1/5+i2/5)-(4+i5/2)

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  5. Express of the complex number in the form a + i b. (1 - i) - (- 1 + i...

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  6. Express of the complex number in the form a + i b. 3(7 + i7) + i(7 + ...

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  7. If x - i y =sqrt((a-i b)/(c-i d)) prove that x^2+y^2=(a^2+b^2)/(c^2+d^...

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  8. Find the number of non-zero integral solutions of the equation |1-i|^...

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  9. Solve the equation: x^2 + x/sqrt2 + 1 =0

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

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

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

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

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

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  15. 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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  16. Convert of the complex number in the polar form: i

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

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

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

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

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