Monday 08th August 2022 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