CBSE Grade 11 Mathematics Ch 5 Complex Numbers and Quadratic Equations Worksheet (RSA)

h14 (Comblex Numbes and
Quadratie Ea,uations) (RSA) PAGE
DEvaluate
2) oe that ;
4)Simblity
q98
n+3
;nt2
)-29i) (-)(3)
4n+3
O
2
Explain the talayi
DATE:
5) Shaw that (-s-A)L, whexe n
in a þositiue
positiue intuqer.
-998
2 h
6) Sho that tthe sum (A+i4+...+)
i o hen nin odd and 1 then

-Aeix)- --)xD
g)Evaluate'
PAGE:
DATE:
)valuate -l6 t 3-25t-36-625.
n)4-i)-(-3+4i)
Exean (3+E2)(as-)in the
Ltarn(a ib)
12)Exþran each at the totlouing in the
om (at ib:
9(34Fs)(3--s)
t-2+3)(-3 42-3)

3) ue that l-i-4
4)Exa? (2+3in tthe jom (otb).
sEtAD (3-5°in the tom (atb).
16)TA (2-), ind Rel), Drnl),
1ite doun the moduus o
(im)-i
PAGE:
|DATE:
ii)a-51
18) te doun the enuqate o each
of
tatlouag
(5+e)
(iy (4t 5)
1aFnd the mutblicative weo o&
Rach ot the
jatluing:
ao)aan each ot the tatlauinq in the

om (arib):
tamlaib).
t 3 - 2
A3) T ti
22Reduee l t l to the fam
PAGE:
|DATE:
LoltL
-i
to the
(a+ib) and henee find its moduue
Latib) then show hat
a)l ind the aat basitye ntegur mfr
hich
25) Sepanate 3+ into eal and
im.agimay part and hence hind its
modulur.

R6) Reduce5+12i t5-12i to the to
(atib nd hene find its eanyuaate
PAGE:
|DATE:
22)lTA (a+iy (atik)_then þroue that:
)+=4(at-b)
28) Let be oa eamblex mumbt Auch that
21and |ela4, Then trove ttat
in þuraly maginnay hat
a
aa)ind the al aue ot for hich
l-aisino
30) ShGw that 4-=2han no nonzUKo
ntegrad ssutian
2) Sote fox and y
(i) (32-) +2iy e-Sy +(5A2)

() (ati)(2-3i)=4ti
3
32) Findthe ual vaun ot andy for
hich -4 y
3ti
34) Save the eauatn |2
vale
PAGE:
33) ind the eoblue numbix zkox hieh
35).Sotye the zauatin
DATE:
36) T 223+aibroue that 2- 62+13=0
Land hence dduee that 32-322
+92t 6520
34) TA :-5+3i, find the value ot
(zt+9+262-
142 +8).
2°
3) T 2=2iti, tae that 32?-92

P9)Modaus and Coniuaate oh Comblex
Nmbre
34) TA2-5 1how that e a
2+5L
2-1
(axt)
(a+1)
(Ba-)
PAGE:
DATE:
(4a)
eal mumbe.
than rove ttat
then oOUe that
42)et2 be a conble numbe uch that
21. Shaw tthat z in buraly
A3)T 2,and 2are eamhlex numbare
Ach that A21in buly magtnay
3a
henbiove tthat 2,-2

A) TE |2|=)2,)=z|2,=2=4 than
toe that
atb
2 t
45) TA t y, þroue that
+52
Zn
A6) TA (atiy) atlaue that
then roue that
PAGE:
|DATE:
thenshow that
2 y and
atb
d t t d x t y 2
48)TA (atib) letid)leif)(qt ik) =
(Ati8)
49T& k and Barte dikferrent eomblez unbers
Auch that p=Ashaw that

jimagnat
PAGE:
5o TA |2-4)=z+4 then shw that
DATE:
STAig.
+z-zi0 then show that
52) And alnmzeto comblez mumbe
S3Sote the ea,uation ushexe in
camplx munber
54) For all camþla nuumhern 2, and ta
e that
S8 Potox ReteAentation af Comþlez Aumbexs
s5)Conwtt each od the totlauing comþlex
()-2i
50) And the modulus and anqument of each
ok h eomhlaz mmbe qever
geven aelouwi

PAGE:
DATE: / |
()-B+i ()--is.
57) ConNeNt the conbla numt (4+in3)
S8) Convrt the eomblex numbe (2ß-2i)
59) Convent the camhlox umber -2*a3)
into þalar tam
40)Conutlt ato boat arm
6i) Convet the oamblez umbor
GaCanvact the comblex mumber
(i-2)nto þalarm.
sa)Eon the camþlez mumaar (n4-i) in
alar tam
G4) Eatgon the combloz umber(-B-)
in frtarfoem.

G5) Convurt the comblx mumbur
PAGE:
DATE:
&b) bNA the emblez mumber
i1-cos)n balan form.
sin
6) Canvert Aleos Bo0 isin300)nto
Carteoan 7om.
A8) Fx any cmmblex mumbID 2,,and
Quadatie Equatiana (rith camblix
Roots)

Sa,uare Roots s a Comblex Numbix
76) Evauate 5+42i
7)EvauateB-15L
T8)xauate (-a4-10i
80) Evaluate 4+3-20
PAGE:
|DATE:
4-3-20
END

CBSE Grade 11 Mathematics Ch 5 Complex Numbers and Quadratic Equations Worksheet (RSA)

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CBSE Grade 11 Mathematics Ch 5 Complex Numbers and Quadratic Equations Worksheet (RSA)