Complex Number : 6th

© 2007 -2010 tutorco.com 1 Q1. Evaluate : Q2. Find the conjugate of the following complex numbers: a) -3 +i b) 5/7 c) -i13 d) 47 + -17 Pre/Cal TOPIC: Complex Numbers © 2007 -2010 tutorco.com 2 Q3. Find x and y : a) (3x – 7) + 2iy = -5y + (5 + x)i b) ( 1 – I )x + ( 1+ I )y = 1-3i c) (3y – 2) + (5 – 4x ) I = 0 Q4. Multiply 3 – 2i with its conjugate. Q5. Reduce the following in standard form: a) © 2007 -2010 tutorco.com 3 b) (1 + 2i)-3 c) d) i9 + i19 © 2007 -2010 tutorco.com 4 Q6. Find: a) 3(7 + i7) + i(7 + i7) b) (1 – i) – (–1 + i6) c) d) © 2007 -2010 tutorco.com 5 e) Q7 Express as standard complex number: Q8. Find the modulus and the argument of the complex number: a) © 2007 -2010 tutorco.com 6 b) c) z = (1 + 7i) /( 2-i)2 Q9. Write the complex numbers in polar form: a) 1 – i © 2007 -2010 tutorco.com 7 b) – 1 + i c) –3 d) © 2007 -2010 tutorco.com 8 e) Q10. Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i. Q11. If , then find the least positive integral value of m © 2007 -2010 tutorco.com 9 Q12. Find the modulus of . Q13.Find the rots of the following equations: a) –x2 + x – 2 = 0 b) © 2007 -2010 tutorco.com 10 c) d)