Q.

θ[0,2π] and z1,z2,z3 are three complex numbers such that they are collinear and (1+|sinθ|)z1+(|cosθ|-1)z2-2z3=0. If at least one of the complex numbers z1,z2,z3 is non- zero then number of possible values of θ is 

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

2

b

1

c

0

d

4

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

If  z1,z2,z3 are collinear and  az1+bz2+cz3=0 then.a+b+c=0 

Hence 1+sinθ+cosθ12=0sinθ+cosθ=2

θπ4,4,4,4

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
θ∈[0,2π] and z1,z2,z3 are three complex numbers such that they are collinear and (1+|sinθ|)z1+(|cosθ|-1)z2-2z3=0. If at least one of the complex numbers z1,z2,z3 is non- zero then number of possible values of θ is