The modulus and amplitude of (1+i 3 )(2+2 i) ( 3 -i) are respectively

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

1. \(2, \frac{3 \pi}{4}\)
2. \(2 \sqrt{2}, \frac{3 \pi}{4}\)
3. \(2 \sqrt{2}, \frac{\pi}{4}\)
4. \(2 \sqrt{2}, \frac{\pi}{2}\)

Answer

(B) 2 2 , 3 4

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

Related practice questions

• The number of complex numbers z such that | z – 1| = | z + 1 | = | z – i | equals
• The value of | a | , where II is a non-real cube root of unity is
• The equation (x - a) 3 + (x - b) 3 + (x - c) 3 = 0 has
• Let II and be two fixed non zero complex numbers and z be a variable complex number. If the lines x z + x…
• The number of integral value of m for which the equation (1+m^ 2 ) x^ 2 -2(1+3 m) x+8 m=0 has no real roots is
• The equation e sin x –e – sin x – 4 = 0 has how many real roots
• If the difference between the roots of the equation x 2 + ax + 1 = 0 is less than 5 , then the set of…
• Find the value of _ r=1 ^ 5 [ ( 2 r 7 )- icos ( 2 r 7 ) ]

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