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+ 3i (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 |