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Express of the complex number in the for...

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

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To express the complex number \( 3(7 + i7) + i(7 + i7) \) in the form \( a + ib \), we will follow these steps: ### Step 1: Distribute the constants First, we will distribute the constants in the expression. \[ 3(7 + i7) = 3 \cdot 7 + 3 \cdot i7 = 21 + 21i \] ...
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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. (1/5+i2/5)-(4+i5/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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