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PRELIM EXAM (AENMAT EN1/EN2)
Contributed by: DESEO
  • 1. Which is true about complex numbers?
A) the symbol j and i denotes same value
B) It contains both real and imaginary number.
C) All of the choices
D) The imaginary number part of it is the square root of the negative number.
  • 2. Which of the following is an example of complex number
A) 2+3i
B) 15
C) All of the choices are considered
D) rcis30
  • 3. Determine (3 - 5i) + (-4 + 7i)
A) 7 +12i
B) 7 - 12i
C) -1 +2i
D) 1 + 2i
  • 4. A complex number can only be added or subtracted directly if it is in __________
A) rectangular form
B) exponential form
C) polar form
D) trigonometric form
  • 5. 5+3i equivalent to
A) 5.83cis0.54 rad
B) all of the choices
C) 5.83∠30.96°
D) e0.54i
  • 6. i21equivalent to
A) -1
B) i
C) -i
D) 1
  • 7. Determine (3 - 5i) - (-4 + 7i)
A) 7 +12i
B) 7 - 12i
C) -1 +2i
D) 1 + 2i
  • 8. Evaluate (4 - i) / ( 1 + 2i)
A) 37-3i
B) 37 +3i
C) 0.4 - 1.8i
D) -0.4 + 1.8i
  • 9. Compute for the modulus of the complex number -2√3 +3√2i.
A) 2√5
B) √ 5
C) √30
D) 0
  • 10. Compute for the argument of the complex number 1-√3 i
A) π/3
B) -π/6
C) 5π/3
D) 2π/3
  • 11. Find the argument of the complex number -3-4i in radians
A) 5.35
B) 0.93
C) 2.22
D) 0.93
  • 12. i29 + i21+ i
A) -3i
B) 3∠90
C) all of the choices are considered
D) 3e-1.571i
  • 13. (12∠30°)+ (8∠25°) - (6∠-20°)
A) all of the choices are considered
B) 12.01+11.43i
C) 16.58e0.761i
D) 16.58∠43.60°
  • 14. (2+2i)(7∠π/6)
A) 14√2 ∠75°
B) 5.12-19.12i
C) 14√2 ∠-75°
D) -5.12+19.12i
  • 15. (4+3i) / (2-i)
A) None of the choices are correc
B) 2.24e-5.176i
C) 2.236 ∠-63.43°
D) 1-2i
  • 16. Compute the product of z1 = 2(cos 30° + i sin 30° ), z2 = 2√2 (cos π/2 +i sin π/2) and z3 = cos 45° +i sin 45°. Express in rectangular form
A) -5.47 +1.47i
B) +5.47 -1.47i
C) (2-2√3)+(-2-2√3 i)
D) (-2-2√3)+(-2-2√3 i)
  • 17. (4+8i)/ i28
A) -8+4i
B) none of the choices
C) 4+8i
D) 12-3i
  • 18.
A) 20.30 e-1.34i
B) 4.68+19.75i
C) 20.30∠-76.67
D) 20.30∠166.67
  • 19. (3+5i)4/(2+6i)3
A) 4.6 e0.374i
B) none of the choices
C) 4.6 ∠-338.55°
D) -4.25 + 1.67i
  • 20. find the cube root of 8 when k=1
A) 2∠240°
B) all of the choices are correct
C) 2∠0
D) 2∠120°
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