JEE Exam  >  JEE Questions  >  If in polar form z1 = cos α + i sin &al... Start Learning for Free
If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1 + z2 + z3 = 0 , then  
  • a)
    1
  • b)
    0
  • c)
    –1
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If in polar form z1 = cos α + i sin α, z2 = cos β + i...
z1 = (1, α) = cosα + isinα = e  ......(i)
⇒ z2 = (1, β) cosβ+isinβ = ei/β  ......(ii)
⇒ z3 =(1, γ). cosγ +isinγ =eiγ   ......(iii)
Also, Z1 +Z2 +Z3 = 0 
⇒ (cosα+cosβ+cosγ)+i(sinα+sinβ+sinγ) = 0
⇒ ccosα+cosβ+cosγ = 0
and sinα+sinβ+sinγ = 0 ... (iv) 


[(Using (i), (ii), (iii)] 
⇒ E = (cosα+cosβ+cosγ - i (sinα+sinβ+sinγ)
   [(Using (i)]

View all questions of this test
Explore Courses for JEE exam
If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If in polar form z1 = cos α + i sin α, z2 = cos β + i sin β, z3 = cos γ + i sin γ and z1+ z2 + z3 = 0 , then a)1b)0c)–1d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev