If (3)/(2+costheta+isintheta)=a+ib"where...

If `(3)/(2+costheta+isintheta)=a+ib"where"i=sqrt(-1)anda^(2)+b^(2)=lamdaa-3," the value of " lamda is`

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

Promotional Banner

Promotional Banner

Topper's Solved these Questions

COMPLEX NUMBERS
ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos
COMPLEX NUMBERS
ARIHANT MATHS|Exercise Exercise For Session 4|14 Videos
COMPLEX NUMBERS
ARIHANT MATHS|Exercise Exercise For Session 1|6 Videos
CIRCLE
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
CONTINUITY AND DIFFERENTIABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

ARIHANT MATHS-COMPLEX NUMBERS-Exercise For Session 2

If (1-ix)/(1+ix)=a-ibanda^(2)+b^(2)=1,where a,b in Randi=sqrt(-1), the...
Text Solution
|
The least positive integer n for which ((1+i)/(1-i))^(n)=(2)/(pi)(sec^...
Text Solution
|
If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Im (z) equals to
Text Solution
|
If (x+iy)^(1//3)=a+ib,"where"i=sqrt(-1),then ((x)/(a)+(y)/(b)) is equa...
Text Solution
|
If (3)/(2+costheta+isintheta)=a+ib"where"i=sqrt(-1)anda^(2)+b^(2)=lamd...
Text Solution
|
lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imagina...
Text Solution
|
The complex number sin(x)+icos(2x) and cos(x)-isin(2x) are conjugate t...
Text Solution
|
If alphaand betaare different complex numbers with |beta|=1,then fin...
Text Solution
|
If x=3+4i find the value of x^4-12x^3-70x^2-204x+225
Text Solution
|
If |z1-1|lt=,|z2-2|lt=2,|z(33)|lt=3, then find the greatest value of |...
Text Solution
|
The principal value of arg (z), where z=1+cos((8pi)/5)+i sin((8pi)/5) ...
Text Solution
|
If |z(1)|=2,|z(2)|=3,|z(3)|=4and|z(1)+z(2)+z(3)|=5. "then"|4z(2)z(3)+9...
Text Solution
|
If |z-i| <= 5 and z1 = 5+3i (where, i = sqrt -1), then greatest and le...
Text Solution
|
If z1,z2 and z3,z4 are two pairs of conjugate complex numbers then arg...
Text Solution
|