If z is a complex number of unit modulus and argument θ, then arg ( 1+z 1+ z ) equals:

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. -θ
2. \(\frac{\pi}{2}-\theta\)
3. θ
4. \(\pi-\theta\)

Answer

(C) θ

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• Let II , II 2 be the roots of x^ 2 +x+1=0 , then the equation whose roots are II 31 , II 62 is
• If α and β are the roots of the quadratic equations, x^ 2 +x -2 =0, (0, 2 ) , then a ^ 12 + ^ 12 ( a ^ -12 +…
• For a < 0 determine all real roots of equation x^ 2 -2 a|x-a|-3 a^ 2 =0 .
• If the inequality (m-2) x^ 2 +8 x+m+4>0 is satisfied for all x R then the least integral m is:
• If the sum of the squares of the roots of the equation x^ 2 -( x-2) x-(1+ x)=0 is least, then II is
• If x + iy = (1 + i) (1 + 2i) (1 + 3i), then x 2 + y 2 =
• If _ k=0 i^ k =x+i y , then the value of x =
• If the equation x^ 2 +b x+45=0(b R) has conjugate complex roots and they satisfy |z+1|=2 10 , then:

More Complex Numbers and Quadratic Equations questions · Browse all practice questions