Zaymiey

📐 Mathematics  ·  Complex Numbers and Quadratic Equations  ·  JEE

(2 + 3i) + (4 - i) =

Answer: 6 + 2i.

  • A 2 + 4i
  • B 6 - 2i
  • C 6 + 2i
  • D 6 + 4i

Correct answer: C. 6 + 2i

Explanation: Add real parts: 2+4=6. Add imaginary parts: 3+(-1)=2. Result: 6 + 2i.

Argand Plane: z = a + ibReImz = a+iba (real part)b (imaginary part)θ = arg(z)|z| = length of the vector OZ = √(a²+b²); θ = angle OZ makes with the positive real axis

A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.

Concept context

Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots

Read the full Complex Numbers and Quadratic Equations notes →