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Write the complex number represented by the point (-2,5)

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To find the complex number represented by the point (-2, 5), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Coordinates**: The point given is (-2, 5). Here, -2 represents the real part (Re) and 5 represents the imaginary part (Im) of the complex number. 2. **Write the Complex Number in Standard Form**: A complex number is generally represented in the form \( z = a + bi \), where \( a \) is the real part and \( b \) is the imaginary part. 3. **Substitute the Values**: From the point (-2, 5), we have: - Real part \( a = -2 \) - Imaginary part \( b = 5 \) 4. **Formulate the Complex Number**: Substitute the values of \( a \) and \( b \) into the standard form: \[ z = -2 + 5i \] 5. **Final Result**: Therefore, the complex number represented by the point (-2, 5) is: \[ z = -2 + 5i \]
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
  1. Plot the complex number -4 + 5i on the Argand plane.

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  2. Plot the complex number -3 + 7i on the Argand plane.

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  3. Write the complex number represented by the point (-2,5)

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  4. Write the complex number represented by the point (-6,-7)

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  5. Find the values of x and y , if (3y -2) + (5 -4x)i=0 , where , x y i...

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  6. Find the values of x and y , if x + 4yi = ix + y + 3 where x ,y in ...

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  7. If z(1) = 4 -I and z(2) = - 3 + 7i then find (i) z(1) +z(2) (...

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  8. If z(1) = 6 + 9i and z(2) = 5 + 2i then find z(1)/z(2)

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  9. if z1= 1 +i, z(2)= 2 -3i and z(3) = 5+ 2i then find z(1)-z(2)+3z(3)

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  10. if z(1)=2+3i, z(2)=1-iand z(3) = 3+ 4i,then find z(1)z(2) +z(3)

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  11. if z(1) =-1 + 3i and z(2)= 2 + i then find 2(z(1) +z(2))

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  12. find the multiplicative inverse of the complex number 2 + 9i .

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  13. Express ( 4 - 5/2 i)^(2) in the form of a + ib.

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  14. Express (1 -i)^(4) in the form of a +ib.

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  15. Express ( 1/3 + 4/3 i)^(2) in the form of a + ib.

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  16. if z(1) = 3i and z(2) =1 + 2i , then find z(1)z(2) -z(1)

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  17. Express 1/(1+cos theta-i sin theta) in the form of a +ib.

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  18. Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

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  19. Show that the complex number ((4+3i)/(3 + 4i)) ((4 -3i)/(3-4i)) is pu...

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

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