For two non-zero complex numbers z1 and z2, if Re(z1 z2) = 0 and Re (z1+z2) = 0, then which of the following are possible?A) Im (Z1) > 0 and Im(Z2) > 0 B) Im(Z1 ) 0C) Im ( Z1) > 0 and Im(Z2) < 0 c) Im (Z1 ) < 0 and Im(Z2) < 0Choose the correct answer from the option given below;

Let z1=x1+iy1 and z2=x2+iy2 since, given Re (z1z2)=x1x2−y1y2=0 So, x1 and x2 are of opposite sign and y1 and y2 are of opposite sign.

For two non-zero complex numbers z1 and z2, if Re(z1 z2) = 0 and Re (z1+z2) = 0, then which of the following are possible?A) Im (Z1) > 0 and Im(Z2) > 0 B) Im(Z1 ) 0C) Im ( Z1) > 0 and Im(Z2) < 0 c) Im (Z1 ) < 0 and Im(Z2) < 0Choose the correct answer from the option given below;

Let z1=x1+iy1 and z2=x2+iy2 since, given Re (z1z2)=x1x2−y1y2=0 So, x1 and x2 are of opposite sign and y1 and y2 are of opposite sign.

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

For two non-zero complex numbers z₁ and z₂, if Re(z₁ z₂) = 0 and Re (z₁+z₂) = 0, then which of the following are possible?
A) Im (Z₁) > 0 and Im(Z₂) > 0 B) Im(Z₁ ) < 0 and Im( Z₂) > 0
C) Im ( Z₁) > 0 and Im(Z₂) < 0 c) Im (Z₁ ) < 0 and Im(Z₂) < 0
Choose the correct answer from the option given below;

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

B and D

A and B

A and C

B and C

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let $z_{1} = x_{1} + i y_{1}$ and $z_{2} = x_{2} + i y_{2}$ since, given Re $(z_{1} z_{2}) = x_{1} x_{2} - y_{1} y_{2} = 0$ So, x₁ and x₂ are of opposite sign and y₁ and y₂ are of opposite sign.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!