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If z1 = (3,5) and z2 = (2,6) find z1 .z...

If `z_1 = (3,5) and z_2 = (2,6)` find `z_1 .z_2`

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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.1(VERY SHORT ANSWER QUESTIONS)
  1. Express the following in the form a + ib ( - sqrt3 + sqrt-2)(2sqrt3 ...

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  2. If z(1)=(2,-1),z(2)=(6,3) find z(1)-z(2)

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  3. If z1 = (3,5) and z2 = (2,6) find z1 .z2

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  4. If z1 = (6,3), z2 = (2,-1), find z1/(z2)

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  5. If 4x + i(3x-y) =3+ i(-6), where x and y are real numbers, then find t...

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  6. Find the real values of x and y if (x-1)/(3+1)+(y-1)/(3-i)=i

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  7. Write the additive inverse of the complex numbers. (2,1)(-4,6)

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  8. Write the additive inverse of the complex numbers. (sqrt(3),sqrt(5)

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  9. Write the additive inverse of the complex numbers. ltbr (-6,5)+(10,-4)

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  10. Find the additive inverse of the following (1 + i)/(1-i)

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  11. Find the multiplicative inverse of 7+24i

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  12. Find the multiplicative inverser of the following (-2,1)

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  13. Find the multiplicative inverser of the following (3,4)

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  14. Find the multiplicative inverser of the following (sin theta,cos th...

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  15. Find the multiplicative inverser of the following (3 +i)/(1 +i)

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  16. Find the multiplicative inverser of the following i^(-35)

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  17. Find the multiplicative inverser of the following sqrt5 + 3i

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  18. Find the multiplicative inverser of the following -i

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  19. Find the modulus of the following (3-4i) (3 + 4i)

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  20. Find the modulus of the following (4 +3i)/(5-12i)

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