CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak
CBSE CLASS XI
Complex Nos. & Quadratic Equations
Q.1. Show that:
(a) 1 + i2 + i4 + i6 = 0
(b) ( 1 + i)8 ( 1 + 1/i)8 = 256
Q.2. Prove that: 
Q.3. Simplify:
( a) 
(
b) 
Q.4. Express each one of the following in the standard form a + ib.
(i) 
(ii) 
(iii) 
Q.5. Express 
Q.6. Represent 
Q.7. Express the following expression in the form of (a + ib):
Q.8. Prove that the following complex numbers are purely real:
(i) 
(ii) 
Q.9. Reduce 
to the standard form.
Q.10. Express the following complex numbers in the standard form. Also, find their conjugate:
(i) 
(ii) 
Q.11. Find the conjugates of the following complex numbers:
(i) 
(ii) 
(iii) 
Q.12. Write the following complex numbers in the polar form:
(i) -3
+ 3
i (ii) -1 – i
Q.13. Find the modulus and principal argument of – 2 i.
Q.14. Find the modulus of 
.
Q.15. Find the modulus and argument of the following complex numbers and hence express each of them in the polar form:
(i) 
(ii) 
Q.16. Find conjugate and modulus of 
Q.17. Find the conjugate of 
Q.18. Find the conjugate of (3 - 2t) (2 + 3t) / (1 + 2t ) (2 - t)
Q.19. Show that if 
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
Ph No.: 9811363962
