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Find the equation whose roots are the 7^...

Find the equation whose roots are the `7^(th)`powers of the roots of the equation `x^2-2xcostheta+1=0`

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To find the equation whose roots are the 7th powers of the roots of the equation \(x^2 - 2x \cos \theta + 1 = 0\), we will follow these steps: ### Step 1: Find the roots of the given quadratic equation The given equation is: \[ x^2 - 2x \cos \theta + 1 = 0 \] We can use the quadratic formula: ...
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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. Solve {cos(-pi/4)+isin(-pi/4)}^10

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  2. Find the values of (1+i)^(1/3)

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  3. Find the equation whose roots are the 7^(th)powers of the roots of the...

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  4. If x=cos alpha+i sin alpha and y=cos beta+i sin beta,z=cos gamma+i si...

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  5. If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0then prove tha...

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  6. If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0, then (A) co...

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  7. Express the following in the form of a+ib (2+3i)/(2-i)

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  8. Express the following in the form of a+ib (1+i)/(2+3i)

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  9. Express the following in the form of a+ib (2+i)(2-3i)(4-3i)

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  10. Express the following in the form of a+ib (2+3i)/(5-4i)+(2-3i)/(5+4i)

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  11. Find the conjugate of i/(3+5i)

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  12. Find the conjugate of (2+3i)(3-4i)

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  13. Find the conjugate of (3+i)/(2+5i)

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  14. Find the modulus of (3+4i)/(12+5i)

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  15. Find the modulus and amplitude of the following complex numbers: sqrt3...

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  16. Find the modulus and amplitude of the following complex numbers: -4i

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  17. Find the modulus and amplitude of the following complex numbers: 1+isq...

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  18. Find the modulus and amplitude of the following complex numbers: -1-i

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  19. Find the additive and multiplicative inverse of -4+5i.

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  20. If z1=7+3i and z2=-7+3i then find the following: z1z2

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